How do you rationalize the denominator and simplify sqrt8/sqrt3?

May 14, 2016

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

Explanation:

Multiply by 1 but in the form of $1 = \frac{\sqrt{3}}{\sqrt{3}}$

$\frac{\sqrt{8}}{\sqrt{3}} \times \frac{\sqrt{3}}{\sqrt{3}}$

$\frac{\sqrt{8} \times \sqrt{3}}{3}$

$\frac{\sqrt{8 \times 3}}{3}$

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

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