# How do you simplify (16sqrt12)/(24sqrt16)?

##### 1 Answer
Sep 28, 2015

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

#### Explanation:

By using laws of surds and consequent algebraic simplification, we may write this as

$\frac{16 \sqrt{4 \times 3}}{24 \sqrt{4} \times 4} = \frac{16 \cdot \sqrt{4} \cdot \sqrt{3}}{24 \cdot \sqrt{4} \cdot \sqrt{4}} = \frac{16 \times 2 \times \sqrt{3}}{24 \times 2 \times 2} = \frac{32 \sqrt{3}}{96} = \frac{\sqrt{3}}{3}$