Question

How do you simplify √2( √8 - 4 )?

Answer 1

`4 - 4sqrt2`

Explanation:

`sqrt2(sqrt8-4)`

To simplify this, we need to use the distributive property.

That means that we multiply the `sqrt2` with everything inside the parenthesis:
`sqrt2 * sqrt8 = sqrt16 = 4`

`sqrt2 * -4 = -4sqrt2`

So the expression becomes `4 - 4sqrt2`.

Hope this helps!