Question

How do you simplify `sqrt(8x^3 y^2)`?

Answer 1

`= color(blue)( 2xysqrt (2x`

Explanation:

`sqrt ( 8 x^3 y^2`

`= sqrt ( color(blue)(2 * 2) * 2 * color(blue)(x * x ) * x * y^2`

`= sqrt ( color(blue)(2^2) * 2 * color(blue)(x^2) * x * color(blue)( y^2`

`= color(blue)( 2* x * y) sqrt (2x`

`= color(blue)( 2xysqrt (2x`