Question

What is the simplified form of 3√135?​

Answer 1

1) expand the radical by seperating it according to its factors;

`3√(135)`

`3√(27*5)`

3
`√(9*3*5)`

SINCE 9 is a PERFECT SQUARE WE CAN TAKE IT OUTSIDE THE RADICAL, BUT WE MUST TAKE THE SQUARE ROOT OF IT BEFORE WE CAN TAKE IT OUT OF THE RADICAL:

sqrt9=3

so

3*3
`√(3*5)`

9
`√(15)`