Answer
$\frac{3\sqrt{2}}{2}$
Work Step by Step
$\frac{15}{\sqrt{50}}$
Simplify by factoring out perfect squares.
$\frac{15}{\sqrt{(25)(2)}}$
Simplify.
$\frac{15}{5\sqrt2}$
Reduce. Divide the numerator and denominator by greatest common factor of 5.
$\frac{3}{\sqrt2}$
Rationalize the denominator.
$\frac{3}{\sqrt2}\times\frac{\sqrt2}{\sqrt2}$
Use product rule for square roots.
$\frac{3\sqrt{2}}{2}$
