How do you simplify sqrt7(2sqrt3+3sqrt7)?

Feb 11, 2017

$2 \sqrt{21} + 21$

Explanation:

Since

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

and

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

the given expression is:

$2 \sqrt{21} + 3 \cdot 7 =$

$= 2 \sqrt{21} + 21$