# How do you simplify 2 sqrt 7+ 3 sqrt 7+ sqrt7?

Feb 26, 2016

$6 \sqrt{7}$

#### Explanation:

Factor a $\sqrt{7}$ from each term.

$2 \sqrt{7} + 3 \sqrt{7} + \sqrt{7} = \sqrt{7} \left(2 + 3 + 1\right) = \sqrt{7} \left(6\right) = 6 \sqrt{7}$

Note that this is similar to addition you have likely done in the past -- try replacing each $\sqrt{7}$ with a variable like $x$.

$2 x + 3 x + x = 6 x$

Feb 26, 2016

6$\sqrt{7}$

#### Explanation:

taking $\sqrt{7}$ common we have
given expression = $\sqrt{7} \left(2 + 3 + 1\right)$
=$6 \sqrt{7}$