How do you simplify (5sqrt3)^2?

May 8, 2016

${\left(\sqrt{3}\right)}^{2} = \textcolor{b l u e}{75}$

Explanation:

Note that for the general case:
$\textcolor{w h i t e}{\text{XXX}} {\left(a b\right)}^{2} = {a}^{2} \cdot {b}^{2}$

So
$\textcolor{w h i t e}{\text{XXX}} {\left(5 \sqrt{3}\right)}^{2} = {5}^{2} \cdot {\left(\sqrt{3}\right)}^{2}$

$\textcolor{w h i t e}{\text{XXXXXXX}} = 25 \cdot 3$

$\textcolor{w h i t e}{\text{XXXXXXX}} = 75$