Answer
$\frac{5\sqrt3}{2}$
Work Step by Step
$\frac{15}{\sqrt{12}}$
Simplify by factoring out perfect squares.
$\frac{15}{\sqrt{(4)(3)}}$
Simplify.
$\frac{15}{2\sqrt3}$
Rationalize the denominator.
$\frac{15}{2\sqrt3}\times\frac{\sqrt3}{\sqrt3}$
Use product rule for square roots.
$\frac{15\sqrt{3}}{6}$
Reduce. Divide the numerator and denominator by greatest common factor of 3.
$\frac{5\sqrt3}{2}$
