How do you simplify #\frac { \sqrt { 25x ^ { 2} y ^ { 2} } } { \sqrt { 5x y } }#?

1 Answer
Y
May 8, 2017

Cancel out terms that are in both the numerator and the denominator.

Explanation:

We can write this expression with everything inside a single square root:
#sqrt((25x^2y^2)/(5xy))#
Since the expression in the numerator can also be written as #(5xy)^2#, we can cancel one #5xy# with the #5xy# in the denominator to get:
#sqrt((5xy)^2/(5xy))=sqrt(5xy)#
Since there are not any perfect squares inside the square root, this is our final answer: #sqrt(5xy)#

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