How do you simplify sqrt3/(6sqrt7)?

Aug 19, 2017

$\frac{\sqrt{21}}{42}$

Explanation:

Times both the top and bottom by $\sqrt{7}$.

This gives you

$\frac{\sqrt{3} \cdot \sqrt{7}}{6 \cdot \sqrt{7} \cdot \sqrt{7}} = \frac{\sqrt{21}}{42}$

$21$ cannot be divided by any square terms, and so this is as simplified as it can be.