# How do you simplify sqrt(10/ 6)?

$\sqrt{\frac{10}{6}} = \frac{\sqrt{15}}{3}$

#### Explanation:

There should be no fraction inside the radical sign

$\sqrt{\frac{10}{6}}$

take note that $\frac{10}{6} = \frac{5}{3}$

$\sqrt{\frac{5}{3}} = \sqrt{\frac{5}{3} \cdot \frac{3}{3}} = \sqrt{\frac{15}{9}} = \frac{\sqrt{15}}{\sqrt{9}} = \frac{\sqrt{15}}{3}$

God bless....I hope the explanation is useful.