A community for students.
Here's the question you clicked on:
 0 viewing
newatthis
 2 years ago
Multiply and simplify Radical Expression
1/2√5(1 1/2√20)
newatthis
 2 years ago
Multiply and simplify Radical Expression 1/2√5(1 1/2√20)

This Question is Closed

newatthis
 2 years ago
Best ResponseYou've already chosen the best response.1dw:1370239174862:dw

newatthis
 2 years ago
Best ResponseYou've already chosen the best response.1Hi I got the answer of 7/2√5 but when I do it I get something different.

yummydum
 2 years ago
Best ResponseYou've already chosen the best response.1okay so lets write that a little prettier to deal with:\[{{1\over2}\sqrt{5}}\times{1~{1\over2}\sqrt{20}}~~\implies~~{{1\over2}\sqrt{5}}\times{{3\over2}\sqrt{20}}~~\implies~~{\sqrt{5}\over2}\times{3\sqrt{20}\over2}\]now that that looks a little better, let's solve:\[{{\sqrt{5}\times3\sqrt{20}}\over2}={3\sqrt{100}\over2}\]because 5 x 20 = 100\[3(10)\over2\]i think you've got it from here :)

yummydum
 2 years ago
Best ResponseYou've already chosen the best response.1oh i meant to write \[3(10)\over4\]sorry

newatthis
 2 years ago
Best ResponseYou've already chosen the best response.1I'm a bit lost I have to simplify this so would'nt 1 1/2√20 be 2 3/2√5

yummydum
 2 years ago
Best ResponseYou've already chosen the best response.1\[1 {1\over2} = {3\over2}\]\[\sqrt{20}= 2\sqrt{5}\]\[{3\over2}\times{2\over1}\sqrt{5}~~=~~{3\over\cancel{2}}\times{\cancel{2}\over1}\sqrt{5}~~=~~\large3\sqrt{5}\]

newatthis
 2 years ago
Best ResponseYou've already chosen the best response.1but the answer comes out to \[\frac{ 7 }{ 2 }\sqrt{5}\]

yummydum
 2 years ago
Best ResponseYou've already chosen the best response.1and where are you getting this from?

newatthis
 2 years ago
Best ResponseYou've already chosen the best response.1Our teacher placed the answer as \[\frac{ 7 }{ 2 }\sqrt{5}\]

newatthis
 2 years ago
Best ResponseYou've already chosen the best response.1I didn't get this answer either this is why it's confusing

yummydum
 2 years ago
Best ResponseYou've already chosen the best response.11/2 times 3/2 = 3/4 sqrt 5 times sqrt 20 = sqrt100 = 10 3/4 times 10 = 7.5 i dont know what your teacher was doing, maybe you copied the question wrong

newatthis
 2 years ago
Best ResponseYou've already chosen the best response.1No it's printed on my paper

yummydum
 2 years ago
Best ResponseYou've already chosen the best response.1then im really not sure

newatthis
 2 years ago
Best ResponseYou've already chosen the best response.1I appreciate your help Thank you yummydum

newatthis
 2 years ago
Best ResponseYou've already chosen the best response.1I got as my final answer \[\frac{ 3 }{ 4 }\sqrt{5} \] this is why it was confusing

newatthis
 2 years ago
Best ResponseYou've already chosen the best response.1I had a person help me don't I don't believe it's correct here is why unless I'm wrong

saifoo.khan
 2 years ago
Best ResponseYou've already chosen the best response.3Alright so i read the whole problem. Where are you stuck? We should get 15/2.

newatthis
 2 years ago
Best ResponseYou've already chosen the best response.1\[1\frac{ 1 }{ 2 }\sqrt{20}\] would be \[\frac{ 3 }{ 2 }\] and \[\sqrt{20} would be 2\] add both \[2\frac{ 3 }{ 2 }\sqrt{5}\]

newatthis
 2 years ago
Best ResponseYou've already chosen the best response.1teacher has an answer of \[\frac{ 7 }{ 2 }\sqrt{5}\] could the teacher be wrong

saifoo.khan
 2 years ago
Best ResponseYou've already chosen the best response.3Yes. Teacher added the sqrt5 by misatke. Or maybe the question you wrote is incorrect.

newatthis
 2 years ago
Best ResponseYou've already chosen the best response.1question is multiply and simplify \[\frac{ 1 }{ 2 }\sqrt{5}\left( 1\frac{ 1 }{ 2 } \sqrt{20}\right)\]

saifoo.khan
 2 years ago
Best ResponseYou've already chosen the best response.3dw:1370243682678:dw

newatthis
 2 years ago
Best ResponseYou've already chosen the best response.1Why is this so complicated? I'm lost

saifoo.khan
 2 years ago
Best ResponseYou've already chosen the best response.3Which step is it that you don't understand?

newatthis
 2 years ago
Best ResponseYou've already chosen the best response.1how would I multiply \[\frac{ \sqrt{5} }{ 2 }\times \frac{ 3*2 }{ 2 }\sqrt{5}\] I thought you multiply numbers not square roots with numbers

newatthis
 2 years ago
Best ResponseYou've already chosen the best response.1my answer was \[\frac{ 3 }{ 4 }\sqrt{5}\] maybe this is wrong

saifoo.khan
 2 years ago
Best ResponseYou've already chosen the best response.3dw:1370244388921:dw

newatthis
 2 years ago
Best ResponseYou've already chosen the best response.1Wouldn't we keep the root? and just multiply getting \[\frac{ 15 }{ 2 }\sqrt{5}\]

saifoo.khan
 2 years ago
Best ResponseYou've already chosen the best response.3No ma'am. Whenever it's given: sqrt3 * sqrt3 we will get "3" as answer. The roots cancel out leaving you with ONE three.

newatthis
 2 years ago
Best ResponseYou've already chosen the best response.1This is how I started \[\frac{ 1 }{ 2 }\sqrt{5}(1\frac{1 }{ 2 }\sqrt{20})\] \[\frac{ 1 }{ 2 }\sqrt{5}(\frac{3 }{ 2 }\sqrt{5})\] \[\frac{ 1 }{ 2 }\times \frac{ 3 }{ 2 }=\frac{ 3 }{ 4 }\sqrt{5}\] I know this isn't corrected but I get this

saifoo.khan
 2 years ago
Best ResponseYou've already chosen the best response.3How will you simplify sqrt 20?

newatthis
 2 years ago
Best ResponseYou've already chosen the best response.1that's right it would be 4*5 which 4 goes down to 2 so it would be \[2\sqrt{5}\]

newatthis
 2 years ago
Best ResponseYou've already chosen the best response.1I forgot to add that \[\frac{ 1 }{ 2 }\sqrt{5}(2\frac{3 }{ 2 }\sqrt{5})\] it would be this correct and mix fractions to improper fractions would be \[2\frac{ 3 }{ 2 } would be \frac{ 7 }{ 2 }\] \[\frac{ 1 }{ 2 }\sqrt{5}(\frac{ 7 }{ 2 }\sqrt{5})\]

saifoo.khan
 2 years ago
Best ResponseYou've already chosen the best response.3You made a mistake again. :P It's not 2 3/2

newatthis
 2 years ago
Best ResponseYou've already chosen the best response.1so it's \[\frac{ 2 }{ 1 }X\frac{ 3 }{ 2 }\]

saifoo.khan
 2 years ago
Best ResponseYou've already chosen the best response.3No. I think you should redo the problem. Show me yor steps please.

newatthis
 2 years ago
Best ResponseYou've already chosen the best response.1\[\frac{ 1 }{ 2 }\sqrt{5}(1\frac{ 1 }{ 2 }\sqrt{20})\] \[\frac{ 1 }{ 2 }\sqrt{5}(\frac{ 3 }{ 2 } 2\sqrt{5})\] \[\frac{ 1 }{ 2 }\sqrt{5}(\frac{ 3 }{ 2 } 2\sqrt{5})\] at this point I'm lost

saifoo.khan
 2 years ago
Best ResponseYou've already chosen the best response.3Awesome. No the 2's on right cancels out. Right?

newatthis
 2 years ago
Best ResponseYou've already chosen the best response.1why would it cancel √20 would be 2√5 this is where I'm getting confused

newatthis
 2 years ago
Best ResponseYou've already chosen the best response.1is 2 canceling with the other 2

saifoo.khan
 2 years ago
Best ResponseYou've already chosen the best response.3sqrt(20) = sqrt(2*2*5) = 2 sqrt5 Agree?

saifoo.khan
 2 years ago
Best ResponseYou've already chosen the best response.3Now the 2 from 2sqrt5 and the w in the denominator on the right canel out

saifoo.khan
 2 years ago
Best ResponseYou've already chosen the best response.3Right o what are we left with now?

saifoo.khan
 2 years ago
Best ResponseYou've already chosen the best response.3Right. And that is multiplied with..?

newatthis
 2 years ago
Best ResponseYou've already chosen the best response.1\[\frac{ 1 }{ 2 }\sqrt{5}\]

saifoo.khan
 2 years ago
Best ResponseYou've already chosen the best response.3Right now multiply it out.

newatthis
 2 years ago
Best ResponseYou've already chosen the best response.1\[\frac{ 1 }{ 2 }\sqrt{5}\times \frac{ 3 }{ 1 }\sqrt{5}\] Is this looking correct?

newatthis
 2 years ago
Best ResponseYou've already chosen the best response.1\[\frac{ 3 }{ 2 }\sqrt{5}\]

newatthis
 2 years ago
Best ResponseYou've already chosen the best response.1do I take of the √ and make it \[\frac{ 3 }{ 2 }\times \frac{ 5 }{ 1 }=\frac{ 15 }{ 2 }\]

newatthis
 2 years ago
Best ResponseYou've already chosen the best response.1Thanks for everything wow :.)

help123please.
 2 years ago
Best ResponseYou've already chosen the best response.1Good job helping @newatthis !!! @saifoo.khan

help123please.
 2 years ago
Best ResponseYou've already chosen the best response.1Kudos to @yummydum too!

saifoo.khan
 2 years ago
Best ResponseYou've already chosen the best response.3@yummydum is useless.

help123please.
 2 years ago
Best ResponseYou've already chosen the best response.1Yummydum isn't. Or you,for that matter.

newatthis
 2 years ago
Best ResponseYou've already chosen the best response.1Thanks for everything it helps a lot when someone knows how to guide and explain it. :)

saifoo.khan
 2 years ago
Best ResponseYou've already chosen the best response.3@help123please. believe me. I know her. @newatthis You're welcome. :)

help123please.
 2 years ago
Best ResponseYou've already chosen the best response.1Well,yes...you've been here longer than me.

saifoo.khan
 2 years ago
Best ResponseYou've already chosen the best response.3Lol. But no doubt she has a brown brain like me! D:

help123please.
 2 years ago
Best ResponseYou've already chosen the best response.1Yours is a great brain,Saif.

help123please.
 2 years ago
Best ResponseYou've already chosen the best response.1U ARE 2 HELPFUL. Lol.

saifoo.khan
 2 years ago
Best ResponseYou've already chosen the best response.3And it's brown too!

saifoo.khan
 2 years ago
Best ResponseYou've already chosen the best response.3I'm brown. Brain is brown too. Dummy is brown too. Hence she has a brown brain too.

help123please.
 2 years ago
Best ResponseYou've already chosen the best response.1We're prolly weirding @newatthis out. Or at least,I am.

help123please.
 2 years ago
Best ResponseYou've already chosen the best response.1'Hence,she has a brown brain too'. Hence. I like that word.

newatthis
 2 years ago
Best ResponseYou've already chosen the best response.1no I'm just doing math working my brain, or whatever is left. :)

help123please.
 2 years ago
Best ResponseYou've already chosen the best response.1Saif,I just noticed your smartscore is mine,with the numbers flipped upside down. XD

help123please.
 2 years ago
Best ResponseYou've already chosen the best response.1*Flips PC upside down* OMGEE I HAVE A 99 SS!

help123please.
 2 years ago
Best ResponseYou've already chosen the best response.198% of the time,when typing lol,you're not actually laughing. Did u know? :P

saifoo.khan
 2 years ago
Best ResponseYou've already chosen the best response.3Make that 99%. I love laughing. It helps in exercising my face muscles. :P

newatthis
 2 years ago
Best ResponseYou've already chosen the best response.1so new question? \[2x \sqrt{7}(3x \sqrt{7})\] \[2x(3x)\sqrt{7}\sqrt{7}\] \[6x(\sqrt{49})\] Would this be correct?

newatthis
 2 years ago
Best ResponseYou've already chosen the best response.1sorry I just threw this in here

help123please.
 2 years ago
Best ResponseYou've already chosen the best response.1@newatthis please close this post and create a new thread.

yummydum
 2 years ago
Best ResponseYou've already chosen the best response.12x * 3x = 6x^2 not just 6x and √49 = 7 so now you have 6x^2 * 7 ....which is?
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.