# How do you simplify 5sqrt2+sqrt2?

Aug 1, 2016

$5 \sqrt{2} + 1 \sqrt{2} = 6 \sqrt{2}$

#### Explanation:

The first thing to notice is that we are working with like terms.

$5 x + x = 6 x$

$5 m + 1 m = 6 m$

$\left(5 \times 8\right) + \left(1 \times 8\right) = 6 \times 8$

$5 \sqrt{2} + 1 \sqrt{2} = 6 \sqrt{2}$