Answer
$\dfrac{3\sqrt2}{2}$
Work Step by Step
Rationalize the denominator by multiplying $\sqrt{2}$ to both the numerator and denominator:
$=\dfrac{15\sqrt{2}}{\sqrt{50}(\sqrt{2})}
\\=\dfrac{15\sqrt{2}}{\sqrt{100}}
\\=\dfrac{15\sqrt{2}}{10}$
Cancel the common factor, 5, to find:
$=\dfrac{3\sqrt{2}}{2}$
