# How do you simplify 2sqrt276 - 4sqrt3?

Apr 20, 2017

See the solution process below:

#### Explanation:

We can rewrite this expression using this rule for radicals:

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

$2 \sqrt{276} - 4 \sqrt{3} \implies 2 \sqrt{3 \cdot 92} - 4 \sqrt{3} \implies 2 \sqrt{3} \sqrt{92} - 4 \sqrt{3}$

We can now factor a $2 \sqrt{3}$ from each term giving:

$2 \sqrt{3} \sqrt{92} - 4 \sqrt{3} \implies 2 \sqrt{3} \sqrt{92} - \left(2 \cdot 2 \sqrt{3}\right) \implies$

$2 \sqrt{3} \left(\sqrt{92} - 2\right)$