SOLUTION: I have been working on this math problem and I can't figure it out!! I was wondering if someone could help me? Please and Thank You!! I would deeply appreciate it!! Properties o

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Question 176293This question is from textbook Algebra and Trigonometry Structure and Method book 2
: I have been working on this math problem and I can't figure it out!! I was wondering if someone could help me? Please and Thank You!! I would deeply appreciate it!!
Properties of Radicals
Simplify.

This question is from textbook Algebra and Trigonometry Structure and Method book 2

Found 3 solutions by Alan3354, EMStelley, Edwin McCravy:
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
4 square root of 3 over the square root of 12.
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I think you mean 4th root of 3 over sqrt of 12, not "4th square root

=
=
=
= (4th root of 27)/6
It's a bit confusing. If you can't follow it, email me.

Answer by EMStelley(208)   (Show Source): You can put this solution on YOUR website!
Just to clarify, the problem is:

Note that sqrt(3) is as simplified as its going to get, so let's concern ourselves with sqrt(12). Now, 12 can be written as 4*3, so that means that

The properties of square roots tell us that sqrt(ab)=sqrt(a)sqrt(b), so

But sqrt(4)=2, so we can replace that, and thus we have

Now, 4/2=2, and the sqrt(3)'s cancel out, so all we are left with is 2!!

Answer by Edwin McCravy(20054)   (Show Source): You can put this solution on YOUR website!



Write the  as 



Take individual square roots on the bottom:



Replace  on the bottom by :



Cancel the 's







Edwin

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