# How do you simplify 4sqrt2 - 2sqrt7?

Aug 20, 2017

It cannot be simplified any further.

#### Explanation:

In order to simplify we would need multiples of square roots of the same number. We do not have that and we cannot get it.

We could factor a #2 from each term and write

$4 \sqrt{2} - 2 \sqrt{7} = 2 \left(2 \sqrt{2} - \sqrt{7}\right)$

But factoring is not generally called simplifying.