# How do you simplify sqrt(12/13)?

Aug 11, 2017

See a solution process below

#### Explanation:

We can rewrite the expression as: $\frac{\sqrt{12}}{\sqrt{13}}$

We can now rationalize the denominator (or, in other words eliminate the radical from the denominator) by multiplying the fraction by the appropriate value of $1$:

$\frac{\sqrt{13}}{\sqrt{13}} \times \frac{\sqrt{12}}{\sqrt{13}}$

$\frac{\sqrt{13} \times \sqrt{12}}{\sqrt{13} \times \sqrt{13}}$

$\frac{\sqrt{13 \times 12}}{13}$

$\frac{\sqrt{156}}{13}$

$\frac{\sqrt{4 \times 39}}{13}$

$\frac{\sqrt{4} \times \sqrt{39}}{13}$

$\frac{2 \sqrt{39}}{13}$