Question

Simplify the expression. Leave your answer in simplest radical form: 6√64x^4y^2

Answer 1

I will assume that everything after the radical sign is under the sign...

6√(64x^4y^2)

6√(8^2(x^2)^2(y^2)) removing all of the perfect squares...

6*8*x^2*y

48x^2y

Answer 2

`6 √(64x^4y^2)=6 √(8^2) √((x^2)^2) √(y^2) =6*8x^2y=48x^2y`

Edited:

`\sqrt[6]{64x^4y^2}= \sqrt[6]{2^6x^4y^2}= 2 \sqrt[6]{x^4y^2}`