# How do you simplify the expression sqrt (13/11)?

Jul 10, 2018

$\sqrt{\frac{13}{11}} = \frac{\sqrt{13}}{\sqrt{11}}$

This cannot be simplified further because $13$ and $11$ are prime numbers.

Jul 10, 2018

$\frac{\sqrt{143}}{11}$

#### Explanation:

To simplify this, multiply both numerator and denominator by $\sqrt{11}$, which is esssentially multiplying it by $1$. This is done to remove the square root symbol.

$\sqrt{\frac{13}{11}} \cdot \sqrt{\frac{11}{11}}$

$\frac{\sqrt{13} \sqrt{11}}{\sqrt{11}} ^ 2$

$\frac{\sqrt{143}}{11}$

Hope this helps!