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What is the square root of 5 divided by the square root of 15?

1 Answer

Sep 21, 2015

$\frac{1}{\sqrt{3}}$ $1/sqrt(3)$
or
$\frac{\sqrt{3}}{3}$ $sqrt(3)/3$ (if you like rational denominators)

Explanation:

$\frac{\sqrt{5}}{\sqrt{15}}$ $sqrt(5)/sqrt(15)$

$= \frac{\sqrt{5}}{\sqrt{3} \cdot \sqrt{5}}$ $=sqrt(5)/(sqrt(3)*sqrt(5))$

$=cancel(sqrt(5))/(sqrt(3)*cancel(sqrt(5)))$

$=1/sqrt(3)$

To rationalize the denominator:

$=1/sqrt(3)*sqrt(3)/sqrt(3)$

$=sqrt(3)/3$

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