# How do you simplify sqrt7-6sqrt7?

May 19, 2017

$- 5 \sqrt{7}$

#### Explanation:

Let $x = \sqrt{7}$

$x - 6 x = - 5 x$

Substituting $\sqrt{7}$ will give us $- 5 \sqrt{7}$

May 19, 2017

$- 5 \sqrt{7}$

#### Explanation:

Remember it is actually $1 \sqrt{7} - 6 \sqrt{7}$

There are two terms with a common factor of $\sqrt{7}$

$1 \sqrt{7} - 6 \sqrt{7}$

$= \sqrt{7} \left(1 - 6\right)$

$= - 5 \sqrt{7}$

Or just treat it as adding like terms:

$1 \sqrt{7} - 6 \sqrt{7} = - 5 \sqrt{7}$