Question

Simplify square root 108x^5y^6

Answer 1

√108x^5y^6
First, break up √108 :
√108 = √4 x √27 = 2 x √3 x √9 = 2 x √3 x 3 = 6√3
Since the x^5 is under a root of 2, that means we can take out an x^2 and leave one x under the radical :
√x^5 = x^2 (√x)
Since the y^6 is raised to an even power and the root is even (2), that means we can take out all of the y's without leaving any under the radical :
√y^6 = y^3
Now, combine all of our simplified forms into one expression:
6x^2y^3√3x