anonymous
  • anonymous
How do you simplify:
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
\[\sqrt{72} \]
KonradZuse
  • KonradZuse
Okay so some easy steps to start simplifying.
KonradZuse
  • KonradZuse
First you're going to want to try to split that 72 into something you know can factor.

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KonradZuse
  • KonradZuse
Any idea what 72 can be split into?
anonymous
  • anonymous
36?
KonradZuse
  • KonradZuse
and what?
anonymous
  • anonymous
ohhhhh. Do you mean like 8 times 9?
KonradZuse
  • KonradZuse
yes, or like tyou said 36 times what? Your first guess was correct.
anonymous
  • anonymous
so then what?
anonymous
  • anonymous
or is that the answer? lol
KonradZuse
  • KonradZuse
\[\sqrt{36 * ?}\]
anonymous
  • anonymous
2
KonradZuse
  • KonradZuse
\[\sqrt{36 * 2}\]
KonradZuse
  • KonradZuse
now can you simplify sqrt(36 or sqrt(2)?
KonradZuse
  • KonradZuse
WE don't split it up, so sorry if that last comment is confusing....
KonradZuse
  • KonradZuse
WE can just look at each piece now, and determine what's needed....
abb0t
  • abb0t
You can also use 8 and 9...
KonradZuse
  • KonradZuse
yes, we can abb0t.... but this is easier. I was going to show 8 and 9 after.
anonymous
  • anonymous
i can simplify 36 into
anonymous
  • anonymous
\[\sqrt{6 * 6}\]
KonradZuse
  • KonradZuse
nono, we don't need to simplify it that way. I meant does sqrt(36) or sqrt(2)= anything?
anonymous
  • anonymous
oh yeah, 36= 6 and 2= 1.414214562. do i have to simplify 2?
KonradZuse
  • KonradZuse
correct so we get \[6 \sqrt{2}\] which is our answer.
anonymous
  • anonymous
ahhhhhhh thanks a lot
KonradZuse
  • KonradZuse
we don't need to simplify 2, we just need to get it into it's simpliest form.
KonradZuse
  • KonradZuse
so for example, lets use 8 and 9.
KonradZuse
  • KonradZuse
\[\sqrt{72} = \sqrt{8 * 9} = 3 \sqrt{ 4 * 2} = 2 *3 \sqrt{2} = 6 \sqrt{2}\]
KonradZuse
  • KonradZuse
Its' really just trying to take some ugly sqrt thart we cannot solve and split it into things that we can solve for :).
anonymous
  • anonymous
i liked the 36 and 2 one better lol. Thanks again!
KonradZuse
  • KonradZuse
Yeah, it's easier, but you can see how it can be applied with any set :). Good luck, I hope you understand the concepts.
anonymous
  • anonymous
so lets see if i have this:
KonradZuse
  • KonradZuse
Sure, throw up a random # and lets see if we can solve.
KonradZuse
  • KonradZuse
as long as it's not prime... AHAH..
anonymous
  • anonymous
\[\sqrt{75} = 5\sqrt{3}\]
KonradZuse
  • KonradZuse
yes.
anonymous
  • anonymous
yaaahooooo
anonymous
  • anonymous
ok thanks cya later!
KonradZuse
  • KonradZuse
\[\sqrt{75} = \sqrt{25 * 3} = 5 \sqrt{3}\]
KonradZuse
  • KonradZuse
np good luck.
anonymous
  • anonymous
Hey here is a new type of problem:
anonymous
  • anonymous
\[\sqrt{5} \times \sqrt{35}\]
anonymous
  • anonymous
Think you can do that?
KonradZuse
  • KonradZuse
hmm Idk man you're asking a lot here... :p
KonradZuse
  • KonradZuse
lets start off basic. Multiply them together, what do we get?
KonradZuse
  • KonradZuse
or, if you want, you can split sqrt(35) into 2 parts, and go that way :).
anonymous
  • anonymous
well i dont need to get the answer to the equation, i think i just need to simplify it. Its under the section of simplifying
anonymous
  • anonymous
so do i just simplify each part?
KonradZuse
  • KonradZuse
simplifying is the same thing.
KonradZuse
  • KonradZuse
you basically are given an eq, to solve. IT could be multiplication, addition, etc, etc. Then you want to use the elements to combine and form something you are able to simplify and take something out of the sqrt. That is our main objective, to get a real number.
KonradZuse
  • KonradZuse
We are doing exactly what we did before, exept we are adding an additional step. Instead of 35 and 5, we had 36 and 2. or 9 and 8(9 * 4 *2)
KonradZuse
  • KonradZuse
I guess above I shouldn't have said you shouldn't split them out, because in the end you can, and it doesn't matter.... sqrt(36) * sqrt(2) is the same thing
KonradZuse
  • KonradZuse
6 * sqrt(2)
anonymous
  • anonymous
so would it be sqrt(5) and 35= 7 * 5
anonymous
  • anonymous
\[\sqrt{5} \times \sqrt{7} \times \sqrt{5}\]?
anonymous
  • anonymous
but those are primes....
KonradZuse
  • KonradZuse
yessir, but you can combine them in other ways, no?
KonradZuse
  • KonradZuse
sqrt(5) * sqrt(5) = ?
anonymous
  • anonymous
i dont know. So then what do i do?
anonymous
  • anonymous
oh didnt see your comment
KonradZuse
  • KonradZuse
Always remember when we have 2 of the same sqrt() we get the actual number
anonymous
  • anonymous
25?
anonymous
  • anonymous
oops 5
KonradZuse
  • KonradZuse
sqrt(25)yes.
KonradZuse
  • KonradZuse
and yes.
anonymous
  • anonymous
wait...
KonradZuse
  • KonradZuse
we now have our answer.
anonymous
  • anonymous
so how do i write down this answer?
KonradZuse
  • KonradZuse
5sqrt(7)
anonymous
  • anonymous
ohhhh ok
KonradZuse
  • KonradZuse
Math is awesome that you can combine and move things around to find whatever you need. Lets say we have sqrt(3) sqrt(3) and sqrt(4) the 2 sqrt(3) become a 3. and the sqrt(4) becomes a 2. Our answer is 6.
KonradZuse
  • KonradZuse
But if we had lets say sq(15) and sqrt(3) we will have to split up the sqrt(15) into sqrt(3) sqrt(5) and then another sqrt(3) which we end up getting 3sqrt(5)
anonymous
  • anonymous
ahhhhhhhh that makes sense! Are you a math teacher or something?
KonradZuse
  • KonradZuse
haha na...
KonradZuse
  • KonradZuse
I just know how much it sucks to not get proper help.....
anonymous
  • anonymous
yeah man. Ok well you saved my grade! Thanks again
KonradZuse
  • KonradZuse
No problem good luck ,anymore questions you can do @konradzuse to get me.
anonymous
  • anonymous
ok lets hope i dont need to do that :P
KonradZuse
  • KonradZuse
There are lots more math in your future :).
anonymous
  • anonymous
true that.
KonradZuse
  • KonradZuse
:) I just got done with Linear Algebra and Calculus 2 :)
anonymous
  • anonymous
im half way through geometry...
anonymous
  • anonymous
hey would the answer to sqrt of 9 over 5 = sqrt of 45 over 5?
anonymous
  • anonymous
|dw:1358109390649:dw|
anonymous
  • anonymous
@KonradZuse
KonradZuse
  • KonradZuse
nope... what's sqrt(9)?
anonymous
  • anonymous
3
anonymous
  • anonymous
would it be:
anonymous
  • anonymous
\[\sqrt{3\sqrt{5}}\]
KonradZuse
  • KonradZuse
nope 3/sqrt(5)...
anonymous
  • anonymous
ohh
anonymous
  • anonymous
so just:
anonymous
  • anonymous
|dw:1358110687298:dw|
anonymous
  • anonymous
or should it have a sqrt sign over the entire thing?
KonradZuse
  • KonradZuse
think about it. sqrt(9)/sqrt(5) is the same thing as sqrt(9/5) sqrt(9) is 3.
anonymous
  • anonymous
ok thanks. Have a good day
KonradZuse
  • KonradZuse
yup.
KonradZuse
  • KonradZuse
you can also double check everything with a calculator...

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