Question

How do you simplify `sqrt(75xy^4)`?

Answer 1

`=color(green)(5y^2sqrt(3x)`

Explanation:

`sqrt 75 = sqrt(5*5*3)`
`sqrt(y^4) =sqrt( y^2 * y^2)`

Rewriting the expression:
`sqrt(75xy^4) = sqrt(color(green)((5*5)) * 3 * x * color(green)(( y^2 * y^2))`

`=color(green)(5y^2sqrt(3x)`