# How do you simplify sqrt(50*6^2)?

Jul 2, 2016

$\sqrt{50 \cdot {6}^{2}} = 30 \sqrt{2}$

#### Explanation:

$\sqrt{50 \cdot {6}^{2}}$

= $\sqrt{5 \times 5 \times 2 \times 6 \times 6}$

= $5 \times 6 \times \sqrt{2}$

= $30 \sqrt{2}$