# How do you simplify sqrt(24/26)?

Mar 18, 2018

$\frac{2 \sqrt{39}}{13}$
$\frac{\sqrt{24} \cdot \sqrt{26}}{\sqrt{26} \cdot \sqrt{26}} = \frac{\sqrt{624}}{26}$
Simplify the numerator into $x \sqrt{y}$ form and simplify:
$\sqrt{624} = \sqrt{39} \cdot \sqrt{16} = 4 \sqrt{39}$
$\frac{4 \sqrt{39}}{26} = \frac{\cancel{4} \sqrt{39}}{\cancel{26}}$
$\frac{2 \sqrt{39}}{13}$