# How do you simplify sqrt7*sqrt7?

Oct 20, 2017

$7$

#### Explanation:

Use properties of square roots first:

$\sqrt{7} \cdot \sqrt{7} = \sqrt{7 \cdot 7}$

Then simplify within the square root:

$\sqrt{7 \cdot 7} = \sqrt{49}$

Then take the square root of $49$ (what number times itself is $49$?):

$\sqrt{49} = 7$