How do you simplify sqrt8/sqrt6?

Jun 16, 2016

$\frac{\sqrt{8}}{\sqrt{6}} = \frac{2 \sqrt{3}}{3}$

Explanation:

$\frac{\sqrt{8}}{\sqrt{6}} = \sqrt{\frac{2 \times 2 \times 2}{2 \times 3}}$

= $\sqrt{\frac{2 \times 2 \times \cancel{2}}{\cancel{2} \times 3}}$

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

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