Find the square root of √96x2y?

Question

√96x²y

 

A.)4xy√6

B.)4x²√6y

C.)4xy²√6

D.)4x√6y

Answer 1

First, take the prime factors, and pair up what you can to form squares.

 

96x²y = (2)(2)(2)(2)(2)(3)(x)(x)(y) = (2²)(2²)(2)(3)(x²)(y)

 

 

Since the square root of a square is just that number, take those numbers out from under the radical and leave the others there.

 

(2)(2)(x)√(2)(3)(y) = 4x√6y