How do you simplify sqrt5/sqrt3?

Mar 13, 2018

See a solution process below:

Explanation:

To simplify this you need to rationalize the denominator by multiplying by the correct form of 1:

$\frac{\sqrt{3}}{\sqrt{3}} \times \frac{\sqrt{5}}{\sqrt{3}} \implies$

$\frac{\sqrt{3} \times \sqrt{5}}{\sqrt{3} \times \sqrt{3}} \implies$

$\frac{\sqrt{3 \times 5}}{3} \implies$

$\frac{\sqrt{15}}{3}$