# How do you simplify sqrt 2 times sqrt 2?

Jun 3, 2016

2

#### Explanation:

$\sqrt{a} \cdot \sqrt{b} = \sqrt{a \cdot b}$

so in our case:

$\sqrt{2} \cdot \sqrt{2} = \sqrt{2 \cdot 2}$

which then simplifies into:

$\sqrt{4}$

which then can be further simplified into:

2

to double check this answer, $2 \cdot 2 = 4$ which is the same as $\sqrt{4}$