# How do you simplify sqrt6 (sqrt5 - sqrt7) ?

Jun 30, 2018

$\sqrt{30} - \sqrt{42}$

#### Explanation:

Recall that $\sqrt{a} \left(\sqrt{b}\right) = \sqrt{a \cdot b}$. This allows us to simplify this expression as

$\sqrt{6 \cdot 5} - \sqrt{6 \cdot 7}$

$\textcolor{b l u e}{\sqrt{30}} - \textcolor{red}{\sqrt{42}}$

There are no perfect squares in $30$ or $42$, so we can't simplify this any further.

Hope this helps!