# Question #363ee

Jul 18, 2016

=$\sqrt{\frac{3}{7}}$

#### Explanation:

When working with roots, write the numbers as the product of their prime factors to see what we are dealing with.

$\sqrt{\frac{12}{28}} = \sqrt{\frac{2 \times 2 \times 3}{2 \times 2 \times 7}}$

$\sqrt{\frac{\cancel{2} \times \cancel{2} \times 3}{\cancel{2} \times \cancel{2} \times 7}}$

=$\sqrt{\frac{3}{7}}$