Question

How do you simplify the expression `4sqrt2-6sqrt8`?

Answer 1

`=- 8 sqrt2`

Explanation:

`4sqrt2 - 6 sqrt8`

We first simplify `sqrt (8) = sqrt (2*2*2) = sqrt ( 2^2 *2 )= color(green)(2 sqrt2`

`=4sqrt2 - 6 * color(green)((2 sqrt2)`

`= 4sqrt2 - 12 sqrt2`

`=- 8 sqrt2`