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harrisc1221
 2 years ago
How would you simplify the square root of 45x^9
harrisc1221
 2 years ago
How would you simplify the square root of 45x^9

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mayankdevnani
 2 years ago
Best ResponseYou've already chosen the best response.1first, 45=9*5 square root of 9=3

harrisc1221
 2 years ago
Best ResponseYou've already chosen the best response.0Ok, I've got that but the exponents are driving me crazy!!

calculusfunctions
 2 years ago
Best ResponseYou've already chosen the best response.9Please teach. Do not give out solutions and hints @TheViper

TheViper
 2 years ago
Best ResponseYou've already chosen the best response.0ok @calculusfunctions thanx:)

TheViper
 2 years ago
Best ResponseYou've already chosen the best response.0@harrisc1221 first find the factors of 45

harrisc1221
 2 years ago
Best ResponseYou've already chosen the best response.0I've got that but I am so confused on how to factor the variables and exponents.

mayankdevnani
 2 years ago
Best ResponseYou've already chosen the best response.1dw:1350552721744:dw

mayankdevnani
 2 years ago
Best ResponseYou've already chosen the best response.1am i right @calculusfunctions

calculusfunctions
 2 years ago
Best ResponseYou've already chosen the best response.9@harrisc1221 square root and square are inverse operations. In other words, the square root and the square undo each other. For example, if the square of 9 is 81, then the square root of 81 is 9. Understand so far before I continue.

TheViper
 2 years ago
Best ResponseYou've already chosen the best response.0\[\large{\sqrt{45x^9}=\sqrt{5\times5\times3\times x\times x \times x\times x\times x\times x\times x\times x\times x}}\] \[\Large{=5\times x\times x\times x\times x\sqrt{3\times x}=5x^4\sqrt{3x}}\]

calculusfunctions
 2 years ago
Best ResponseYou've already chosen the best response.9@mayankdevnani yes but you have to ask yourself if the student who is learning understands what you did and more importantly why you did what you did. This is why it's important to allow the student to arrive at the solutions themselves by guiding them, rather than simply saying here, this is how you answer this question. The student may understand this particular problem then but that doesn't help them solve future problems. A teachers job is to teach, not say, oh here let me solve it for you.

mayankdevnani
 2 years ago
Best ResponseYou've already chosen the best response.1ok but my answer is right

harrisc1221
 2 years ago
Best ResponseYou've already chosen the best response.0Ok, so can you teach it to me calculusfunctions??

calculusfunctions
 2 years ago
Best ResponseYou've already chosen the best response.9@TheViper yet you did it again.

calculusfunctions
 2 years ago
Best ResponseYou've already chosen the best response.9Yes @harrisc1221

harrisc1221
 2 years ago
Best ResponseYou've already chosen the best response.0Ugh!!! I just need help figuring out how to simplify this problem!!!!

calculusfunctions
 2 years ago
Best ResponseYou've already chosen the best response.9@harrisc1221 I was typing up a lesson for you and my comp lost the connection so allow me a few minutes to type it up again. Thanks.

harrisc1221
 2 years ago
Best ResponseYou've already chosen the best response.0Thank You @calculusfunctions

harrisc1221
 2 years ago
Best ResponseYou've already chosen the best response.0The actual assignment is multiplying radicals, but I can multiply them I just can't simplify them if they have variables and exponents.

calculusfunctions
 2 years ago
Best ResponseYou've already chosen the best response.9\[\sqrt[n]{ab}=\sqrt[n]{a}\sqrt[n]{b}\] Example:\[\sqrt{54x ^{5}}=\sqrt{54}\sqrt{x ^{5}}\]Simplify each square root factor. First\[\sqrt{54}\]The greatest perfect square 54 is divisible by is 9. Thus\[\sqrt{54}=\sqrt{9}\sqrt{6}=3\sqrt{6}\]Next simplify\[\sqrt{x ^{5}}\]To find the square root of a variable, we divide the exponent by 2. Thus find the closest exponent that is divisible by 2. In our example the closest even number to 5 is 4. Thus\[\sqrt{x ^{5}}=\sqrt{x ^{4}}\sqrt{x}=x ^{2}\sqrt{x}\]Now\[\sqrt{54x ^{5}}=(3\sqrt{6})(x ^{2}\sqrt{x})=3x ^{2}\sqrt{6x}\]Understand @harrisc1221 ?

calculusfunctions
 2 years ago
Best ResponseYou've already chosen the best response.9@harrisc1221 sorry it took longer because I lost the connection again.

calculusfunctions
 2 years ago
Best ResponseYou've already chosen the best response.9Now @harrisc1221 could you please show me your solution if you understood so that I may see that you have the correct answer.

harrisc1221
 2 years ago
Best ResponseYou've already chosen the best response.0i've got 3*3*5*x^3*x^3

calculusfunctions
 2 years ago
Best ResponseYou've already chosen the best response.9@Mpost1994 That is what I meant by teaching. As for your comment above, you're clearly not a psychic because FYI I am a teacher who loves teaching so much that I devote almost all my free time to help as many people as I can on this site and others. I would appreciate it if you did not waste anymore of mine and others valuable time.

calculusfunctions
 2 years ago
Best ResponseYou've already chosen the best response.9@harrisc1221 is this your final answer?

harrisc1221
 2 years ago
Best ResponseYou've already chosen the best response.0No, it's what I have so far. I don't know how to write it out in the correct format @calculusfunctions

calculusfunctions
 2 years ago
Best ResponseYou've already chosen the best response.9@harrisc1221 did you understand the lesson along with the example I gave?

harrisc1221
 2 years ago
Best ResponseYou've already chosen the best response.0Some of it said there was a path processing error

calculusfunctions
 2 years ago
Best ResponseYou've already chosen the best response.9Obviously @Mpost1994 you have no respect for teachers.

harrisc1221
 2 years ago
Best ResponseYou've already chosen the best response.0Can you all battle it out somewhere else, I came here because I am having trouble with this and the bickering back and forth is not making it any better!!!

calculusfunctions
 2 years ago
Best ResponseYou've already chosen the best response.9I'm sorry @harrisc1221 I can't teach wile @Mpost1994 continues to be disruptive and obnoxious. @harrisc1221 let me know when he's gone.

Mpost1994
 2 years ago
Best ResponseYou've already chosen the best response.0I am leaving now. Sorry for saying something on your question post list. Bye now.

harrisc1221
 2 years ago
Best ResponseYou've already chosen the best response.0The least you could do is have respect for someone else!!!! I am the one that is having trouble with math and if you have a problem with what someone is saying then send them a message, but DON'T litter my message board with this crap!!

Mpost1994
 2 years ago
Best ResponseYou've already chosen the best response.0I could always postpone bed and keep going.

harrisc1221
 2 years ago
Best ResponseYou've already chosen the best response.0If you're not willing to help I suggest you get off my question post!!! Gah, there is something called respect and you need to know what it is!! I came here as a last resort but unfortunately I can't even get any help here. So thank you for being a douchebag!!! I hope you're happy, because I am pissed!!!!!!

terenzreignz
 2 years ago
Best ResponseYou've already chosen the best response.0hey, if I might interrupt? I'm sorry if I disrupt @calculusfunctions line of thought, but perhaps it might be easier to see things in terms of exponents?

harrisc1221
 2 years ago
Best ResponseYou've already chosen the best response.0Ok, what do you mean by that @terenzreignz

terenzreignz
 2 years ago
Best ResponseYou've already chosen the best response.0Well, use laws of exponents to your advantage... Such as... \[(mn)^{p}=m^{p}n^{p}\]\[(m^{p})^{q}=m^{pq}\]\[\sqrt{m}=m^{\frac{1}{2}}\]

calculusfunctions
 2 years ago
Best ResponseYou've already chosen the best response.9@terenzreignz go ahead because of @Mpost1994 I can't think anyway but as to your comment I did explain in terms of exponents.

calculusfunctions
 2 years ago
Best ResponseYou've already chosen the best response.9*using exponents. Did you not read the lesson I posted above?

harrisc1221
 2 years ago
Best ResponseYou've already chosen the best response.0Am i the only one that keeps having the [math processing error] on their screen?

mathslover
 2 years ago
Best ResponseYou've already chosen the best response.0@harrisc1221 try to press ctrl+F5

calculusfunctions
 2 years ago
Best ResponseYou've already chosen the best response.9I've never ever been so disrespected by any student as I have today by @Mpost1994

harrisc1221
 2 years ago
Best ResponseYou've already chosen the best response.0It's still not showing up @mathslover

mathslover
 2 years ago
Best ResponseYou've already chosen the best response.0@Mpost1994 , : as per openstudy codeofconduct ( http://openstudy.com/codeof conduct ) : Don't just provide the answer to a problem when someone else is in the middle of helping! But if you want to help, by all means, join in! So, I request you to NOT interrupt between the answer process of a user to the asker , I hope you will value the above point and will not devalue the question/answer process from now. Thanks! Oh btw , @harris1994 and @calculusfunctions I am impressed with both of your's discussion and interaction, this is the perfect use of OpenStudy .

calculusfunctions
 2 years ago
Best ResponseYou've already chosen the best response.9@harrisc1221 \[\sqrt{45x ^{9}}=\sqrt{45}\sqrt{x ^{9}}\]Correct?

calculusfunctions
 2 years ago
Best ResponseYou've already chosen the best response.9I'm not going to let the low lives like @Mpost 1994 detract me from teaching. He thinks he got to me but then that would like letting a terrorist win. Therefore I'm going to continue and not let scum bother me.

calculusfunctions
 2 years ago
Best ResponseYou've already chosen the best response.9So @harrisc1221 let's continue shall we?

harrisc1221
 2 years ago
Best ResponseYou've already chosen the best response.0YES! @calculusfunctions

calculusfunctions
 2 years ago
Best ResponseYou've already chosen the best response.9So first let's simplify\[\sqrt{45}\]first. Based on the example I gave, what do you think we should do first? Did you even read my example carefully?

harrisc1221
 2 years ago
Best ResponseYou've already chosen the best response.0we should simplify the square root of 54 first @calculusfunctions

calculusfunctions
 2 years ago
Best ResponseYou've already chosen the best response.9Yes so then read the steps I explained to do that and simplify \[\sqrt{45}\]

harrisc1221
 2 years ago
Best ResponseYou've already chosen the best response.0which would be 3*3*5 @calculusfunctions

calculusfunctions
 2 years ago
Best ResponseYou've already chosen the best response.9Yes the greatest perfect square that 54 is divisible by is 9. Thus??

harrisc1221
 2 years ago
Best ResponseYou've already chosen the best response.0I'm still having a hard time reading your input because of the math processing error, sorry.

calculusfunctions
 2 years ago
Best ResponseYou've already chosen the best response.9\[\sqrt{45}=\sqrt{9}\sqrt{5}=?\]

calculusfunctions
 2 years ago
Best ResponseYou've already chosen the best response.9I'm not sure why you're seeing error. I'm not experiencing the same issue.

harrisc1221
 2 years ago
Best ResponseYou've already chosen the best response.0I don't know either I have pushed ctrl and F5

calculusfunctions
 2 years ago
Best ResponseYou've already chosen the best response.9LOL I think you mean\[3\sqrt{5}\]

harrisc1221
 2 years ago
Best ResponseYou've already chosen the best response.0I can only see you're reply if you tag me in the post for some reason @calculusfunctions

calculusfunctions
 2 years ago
Best ResponseYou've already chosen the best response.9@harrisc1221 you mean\[3\sqrt{5}\]Do you see it now?

calculusfunctions
 2 years ago
Best ResponseYou've already chosen the best response.9Sorry @harrisc1221 but this @Mpost piece of disrespectful trash still keeps bothering me. The problem is that the moderators aren't around at the moment so he seem to taking advantage. But like I said we don't let terrorists win so let's continue.

calculusfunctions
 2 years ago
Best ResponseYou've already chosen the best response.9@harrisc1221 next we have\[\sqrt{x ^{9}}\]The square root of a variable is found by dividing the the exponent of the variable by 2. This implies that the exponent must be even Thus what is the closest even number to 9?

calculusfunctions
 2 years ago
Best ResponseYou've already chosen the best response.9@harrisc1221 correct so then\[\sqrt{x ^{9}}=?\]

mikala1
 2 years ago
Best ResponseYou've already chosen the best response.0wow alot has gone on here lol @calculusfunctions u r a great math teacher dont let any one tell you diffrent

lgbasallote
 2 years ago
Best ResponseYou've already chosen the best response.0nice work here @calculusfunctions just the way it should be

calculusfunctions
 2 years ago
Best ResponseYou've already chosen the best response.9Thank you @mikala1 It's because of decent, respectful, hardworking, motivated students like yourself, @harrisc1221, @mathslover, and many others that I will never stop and I refuse to allow a few individuals such as @Mpost 1994 to be problematic.

lgbasallote
 2 years ago
Best ResponseYou've already chosen the best response.0this is actually an excellent example that solving by examples is a very efficient way of teaching

calculusfunctions
 2 years ago
Best ResponseYou've already chosen the best response.9@lgbasallote thank you for your kind words. I appreciate the respect and the support from students like you, as I mentioned in the above comment. Thank you!!!!

lgbasallote
 2 years ago
Best ResponseYou've already chosen the best response.0even more efficient than actually telling the first few steps of the solution P.S. <not a student

calculusfunctions
 2 years ago
Best ResponseYou've already chosen the best response.9@harrisc1221 yes\[\sqrt{x ^{9}}=\sqrt{x ^{8}}\sqrt{x}=?\]

calculusfunctions
 2 years ago
Best ResponseYou've already chosen the best response.9LOL @lgbasallote I apologize. I didn't know you were not a student. Are you also a teacher?

harrisc1221
 2 years ago
Best ResponseYou've already chosen the best response.0Ok, so now I am lost after that last step

lgbasallote
 2 years ago
Best ResponseYou've already chosen the best response.0i would assume "also" means you're a teacher? and yes, i am a liberal arts professor

calculusfunctions
 2 years ago
Best ResponseYou've already chosen the best response.9@harrisc1221 What is \[\sqrt{x ^{8}}=?\]What did I say earlier about taking the square root of a variable?

calculusfunctions
 2 years ago
Best ResponseYou've already chosen the best response.9@harrisc1221 what is divided by 2?

calculusfunctions
 2 years ago
Best ResponseYou've already chosen the best response.9@lgbasallote you assume correctly sir! I math and physics.

harrisc1221
 2 years ago
Best ResponseYou've already chosen the best response.0You would dived 8 by 2 and get 4

calculusfunctions
 2 years ago
Best ResponseYou've already chosen the best response.9@harrisc1221 \[\sqrt{x ^{8}}=?\]

harrisc1221
 2 years ago
Best ResponseYou've already chosen the best response.0That is what I meant, I can't get the equation function to work right

calculusfunctions
 2 years ago
Best ResponseYou've already chosen the best response.9@harrisc1221 then\[\sqrt{x ^{9}}=\sqrt{x ^{8}}\sqrt{x}=?\]

calculusfunctions
 2 years ago
Best ResponseYou've already chosen the best response.9@mikala1 I guess he's gone for now. He did message saying that he would have to go soon. I have to go in a bit as well but is there anything I can help you with before I do?

mikala1
 2 years ago
Best ResponseYou've already chosen the best response.0no i was just watching u do ur leaason so i could learn

calculusfunctions
 2 years ago
Best ResponseYou've already chosen the best response.9@mikala1 that's great. Did you learn anything and are you good with those linear equations now?

mikala1
 2 years ago
Best ResponseYou've already chosen the best response.0just a little im not that far yet lol im only in 9 th grade

terenzreignz
 2 years ago
Best ResponseYou've already chosen the best response.0@calculusfunctions Your patience is inspiring... It comes as no surprise that you're into teaching :D

calculusfunctions
 2 years ago
Best ResponseYou've already chosen the best response.9@mikala1 yes i already knew you were in Grade 9 because you were studying linear equations.

calculusfunctions
 2 years ago
Best ResponseYou've already chosen the best response.9@terenzreignz Thank you. I appreciate the encouragement.

mikala1
 2 years ago
Best ResponseYou've already chosen the best response.0lol just a little but i shall have more question next week for u

calculusfunctions
 2 years ago
Best ResponseYou've already chosen the best response.9@mikala1 of course! Whenever you need me, simply let me know.

calculusfunctions
 2 years ago
Best ResponseYou've already chosen the best response.9Haha! I see that I remain a mystery to you. LOL. But seriously I appreciate the compliment, although I don't see myself as being as intelligent as Sheldon.

mikala1
 2 years ago
Best ResponseYou've already chosen the best response.0u r for real lol and hes real not that smart in dating world lol

calculusfunctions
 2 years ago
Best ResponseYou've already chosen the best response.9LOL. I love that show!! My ringtone is the theme song.

calculusfunctions
 2 years ago
Best ResponseYou've already chosen the best response.9Anyway I have to go now but you like I said, you let me know if you want my help. Alright?

mikala1
 2 years ago
Best ResponseYou've already chosen the best response.0lol u rwaly do sound like him thogh n ok

calculusfunctions
 2 years ago
Best ResponseYou've already chosen the best response.9You too! Bye!

harrisc1221
 2 years ago
Best ResponseYou've already chosen the best response.0Yeah still needing help with help with this
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