# How do you simplify (1 + 2 sqrt3) /( 1 + sqrt3 )?

May 2, 2018

$\frac{7}{4}$

#### Explanation:

To start, you want to get rid of both square roots.
To do this you want to multiply $\sqrt[2]{3}$ to the nominator and the denominator of the equation.
$\frac{1 + 2 \sqrt[2]{3} \times \sqrt[2]{3}}{1 + \sqrt[2]{3} \times \sqrt[2]{3}}$
Doing this will cancel out the roots and make the $\sqrt[2]{3}$ become a $3$.
$\frac{1 + 2 \times 3}{1 + 3}$
From this point on you just follow BEDMAS and solve the equation.
$\frac{7}{4}$
All done!