SOLUTION: what is the sqrt 25x^4 over 81y^2 show work

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Question 35656: what is the sqrt 25x^4 over 81y^2
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Answer by rapaljer(4671) About Me  (Show Source):
You can put this solution on YOUR website!
Do you mean square root of the entire fraction like this:
sqrt%28%2825x%5E4%29%2F%2881y%5E2%29%29???

If so, then notice that everything in this problem is a perfect square! (by the way, you DO know your perfect squares, don't you??? And did you know that when you take the square root of a variable with an exponent, you must divide the exponent by 2?) If you know this, the fact that everything is "perfect square" makes it easy. If you did NOT know all of this, then you should visit my lesson plans about square roots in algebra.com or visit my own website and go to Basic Algebra, look for Samples from Basic Algebra: One Step at a Time, and then go to Chapter 5, which gives you an ENTIRE explanation of Square Roots.

Now, after this commercial break, you must take the square root of the numerator, and the square root of the denominator, and remember, divide the exponents by 2 (for square roots!).
%28sqrt%28%2825x%5E4%29%29%2F%28sqrt%2881y%5E2%29%29%29=+%285x%5E2%29%2F%289y%29

R^2 at SCC