Question

How do you simplify `sqrt(36x^3)`?

Answer 1

Extract the largest squares from the terms of the square root argument and remove them from within the square root.

`36 = 6^2`
`x^3 = (x^2) (x)`

So
`sqrt(36x^3)`
`= sqrt(6^2*x^2*x)`
`= sqrt(6^2)*sqrt(x^2)*sqrt(x)`
`= 6x sqrt(x)`