How do you simplify (5sqrt54)/(15sqrt2)?

May 9, 2018

$\sqrt{3}$

Explanation:

$\frac{\sqrt{54}}{3 \sqrt{2}}$

$\frac{\sqrt{2 \cdot 3 \cdot 9} \cdot \sqrt{2}}{6}$

$\frac{3 \sqrt{6} \cdot \sqrt{2}}{6}$

$\frac{\sqrt{6} \cdot \sqrt{2}}{2}$

$\frac{\sqrt{2 \cdot 3} \cdot \sqrt{2}}{2}$

$\frac{2 \sqrt{3}}{2}$

$\sqrt{3}$