Question

How do you simplify `(-4 sqrt(6)) / sqrt(27)`?

Answer 1

`(4sqrt(6))/sqrt27` `=` `(-4sqrt2)/3`

Explanation:

`(4sqrt(6))/sqrt27` `=` `(-4sqrt(2)xxcancelsqrt(3))/(sqrt(9)xxcancelsqrt3)` `=` `(-4sqrt(2))/sqrt(9)` `=` `(-4sqrt2)/3`

So in effect, you factorize the square roots.