# How do find the quotient of (3 - sqrt3) /( sqrt3)?

May 14, 2018

$\sqrt{3} - 1$

#### Explanation:

First, to simplify it, get rid of the irrational number in the denominator by multiplying both the numerator and denominator by $\sqrt{3}$ to get
$\frac{3 \sqrt{3} - 3}{3}$
Now, you can simply divide both terms in the numerator and the denominator by $3$ to get
$\frac{\sqrt{3} - 1}{1}$
Since any number divided by one is the same after dividing, it is the same as
$\sqrt{3} - 1$