# How do you simplify sqrt10*sqrt12?

Mar 19, 2018

$2 \sqrt{30}$

#### Explanation:

We can rewrite $\sqrt{10} \cdot \sqrt{12}$ as $\sqrt{10 \cdot 12} = \sqrt{120}$. Now we can factor a perfect square out of $\sqrt{120}$. We get:

$\sqrt{120} = \sqrt{4} \cdot \sqrt{30}$

$\implies 2 \sqrt{30}$

There are no perfect squares in $30$, so we are done!

Mar 19, 2018

$\sqrt{10 \cdot 12}$

$= \sqrt{120}$

$= \sqrt{3 \cdot 4 \cdot 10}$

$= \sqrt{4} \cdot \sqrt{30}$

$= 2 \sqrt{30}$

#### Explanation:

sqrt(a) * sqrt(b) = sqrt(a*b)