# How do you combine sqrt5+sqrt5?

Oct 13, 2015

$2 \sqrt{5}$

#### Explanation:

Think about it like this - what would happen if you used $\sqrt{5}$ as a common factor for that expression?

You know that you can write

$\sqrt{5} = \sqrt{5} \cdot 1$

This means that you can also write

$\sqrt{5} + \sqrt{5} = \sqrt{5} \cdot 1 + \sqrt{5} \cdot 1$

$= \sqrt{5} \cdot \left(1 + 1\right)$

$= \sqrt{5} \cdot 2$

$= \textcolor{g r e e n}{2 \sqrt{5}}$

Oct 13, 2015

$\sqrt{5} + \sqrt{5} = 2 \sqrt{5}$
You add them together the same way you add two variables, such as $x + x = 2 x$.
$\sqrt{5} + \sqrt{5} = 2 \sqrt{5}$