Question

How do you solve square root of 108 minus square root of 27?

Answer 1

First Factor these numbers and apply square roots propierties. See below

Explanation:

`108=2^2xx3^3`
`27=3^3`

Then `sqrt108-sqrt27=sqrt(2^2·3^3)-sqrt(3^3)=`

`=sqrt(2^2)sqrt(3^2)·sqrt3-sqrt(3^2)·sqrt3=`

`=2·3·sqrt3-3·sqrt3=6sqrt3-3sqrt3=3sqrt3`