How do you simplify 15/sqrt6?

May 28, 2015

Answer: $\frac{15}{\sqrt{6}}$ simplified is $\frac{5 \sqrt{6}}{2}$

Problem: Simplify $\frac{15}{\sqrt{6}}$ .

Multiply the numerator and denominator by $\sqrt{6}$ .

$\frac{15}{\sqrt{6}} \cdot \frac{\sqrt{6}}{\sqrt{6}}$ =

$\frac{15 \sqrt{6}}{6}$

Factor out the GCF $3$.

$\frac{\left({\cancel{15}}^{5} / {\cancel{3}}^{1}\right) \sqrt{6}}{\frac{{\cancel{6}}^{2}}{{\cancel{3}}^{1}}}$ =

$\frac{5 \sqrt{6}}{2}$