Question

How do you simplify square Root of 72 Minus Square Root of 18?

Answer 1

`= color(green)(3sqrt2`

Explanation:

The square root of `72` minus square root of `18` can be expressed as
`sqrt72- sqrt18`

Now,
`sqrt72 = sqrt(3^2 * 2^2 *2) = 6sqrt2`

`sqrt18 = sqrt(3^2*2) = 3sqrt2`

`6sqrt2- 3sqrt2 = color(green)(3sqrt2`