Question

How do you simplify `sqrt((9x^2y)/(32z^3))`?

Answer 1

`(3x)/(4z)sqrt(y/(2z))`

Explanation:

`sqrt((9x^2y)/(32z^3)) color(white)(xxxxxx)larr` find the square roots where possible.

=`sqrt((3^2x^2y)/(4^2xx2z^2 z))color(white)(xxxxxx)larr` identify the squares.

=`(3x)/(4z)sqrt(y/(2z))`