Answer
$\dfrac{5\sqrt3}{2}$
Work Step by Step
Rationalize the denominator by multiplying $\sqrt{3}$ to both the numerator and denominator:
$=\dfrac{15\sqrt{3}}{\sqrt{12}(\sqrt{3})}
\\=\dfrac{15\sqrt{3}}{\sqrt{36}}
\\=\dfrac{15\sqrt{3}}{6}$
Cancel the common factor, 3, to find:
$=\dfrac{5\sqrt{3}}{2}$
