# How do you simplify (sqrt 7) (sqrt14)?

Mar 28, 2016

${\left(\sqrt{7}\right)}^{2} \cdot \sqrt{2} = 7 \sqrt{2}$

#### Explanation:

$\left(\sqrt{7}\right) \left(\sqrt{14}\right) = \left(\sqrt{7}\right) \left(\sqrt{7 \cdot 2}\right)$
$\left(\sqrt{7}\right) \left(\sqrt{7.} \sqrt{2}\right)$
${\left(\sqrt{7}\right)}^{2} \cdot \sqrt{2} = 7 \sqrt{2}$

Mar 28, 2016

rewrite $\sqrt{14}$ as sqrt(7(2)

$\sqrt{7} \cdot \sqrt{7 \cdot 2}$
this reduces to $\sqrt{7} \cdot \sqrt{7} \cdot \sqrt{2}$
which becomes 7 $\sqrt{2}$