# How do you simplify  3sqrt7 - 5sqrt7?

Jul 10, 2016

$- 2 \sqrt{7}$

#### Explanation:

Subtract both radicals while keeping the radicand the same. The radicand contains the value inside the square root symbol.

$3 \sqrt{7} - 5 \sqrt{7}$

$= - 2 \sqrt{7}$

May 13, 2017

$- 2 \sqrt{7}$
$a \sqrt{2} - b \sqrt{2} = \left(a - b\right) \sqrt{2}$
Hence, $3 \sqrt{7} - 5 \sqrt{7} = - 2 \sqrt{7}$