Question

what is the simplified form of 3√135?​

Answer 1

Answer:

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

$3\sqrt{135}$

$3\sqrt{27*5}$

3$\sqrt{9*3*5}$

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$\sqrt{3*5}$

9$\sqrt{15}$