# How do you divide (sqrt3 - 1)/(sqrt3+1)?

Apr 5, 2015

Try rationalizing by multiplying and dividing by $\sqrt{3} - 1$:

Apr 5, 2015

Multiply the numerator and denominator by the conjugate of the denominator to clear the radical from the denominator, then simplify.

$\frac{\sqrt{3} - 1}{\sqrt{3} + 1} \cdot \frac{\sqrt{3} - 1}{\sqrt{3} - 1}$

$= \frac{3 - 2 \sqrt{3} + 1}{3 - 1}$

$= 2 - \sqrt{3}$