Question

What is the square root 48 - 8 square root 12 - 4 square root 27?

Answer 1

You try to get 'squares out of the root'

Explanation:

`48=16*3=4^2*3` so:
`sqrt48=sqrt(16*3)=sqrt(4^2)*sqrt3=4sqrt3`

Same goes for:
`12=4*3=2^2*3` so `sqrt12=2sqrt3`

`27=9*3=3^2*3` so `sqrt27=3sqrt3`

The original question then changes into:

`=4sqrt3-8*2sqrt3-4*3sqrt3`

`=(4-16-12)*sqrt3=-24sqrt3`