# How do you simplify sqrt4/(5sqrt3)?

Mar 20, 2018


$\frac{2 \sqrt{3}}{15}$


#### Explanation:



Simplify the numerator as:

$= \frac{2}{5 \sqrt{3}}$

We need to rationalize the denominator, so multiply the numerator and the denominator of the expression with conjugate of the radical:

$= \frac{2 \setminus \times \sqrt{3}}{5 \setminus \times \sqrt{3} \setminus \times \sqrt{3}}$

Simplify the denominator to get:

$= \frac{2 \sqrt{3}}{5 \setminus \times 3}$

$= \frac{2 \sqrt{3}}{15}$



That't it!