# How do you simplify  (1/sqrt3) + (1/sqrt2)?

Aug 18, 2017

$\frac{2 \sqrt{3} + 3 \sqrt{2}}{6}$

#### Explanation:

Start by multiplying the top and bottom of both fractions by $\sqrt{3}$ and $\sqrt{2}$ respectively. This rationalizes the denominator, making it easier to work with the fractions.
$\left(\frac{\sqrt{3}}{3}\right) + \left(\frac{\sqrt{2}}{2}\right)$
Next, multiply the top and bottom of both fractions by $2$ and $3$ respectively. This creates a common denominator and allows for the combination of the two terms.
$\left(\frac{2 \sqrt{3}}{6}\right) + \left(\frac{3 \sqrt{2}}{6}\right)$
$\frac{2 \sqrt{3} + 3 \sqrt{2}}{6}$