# What is 15 divided by the square root of 2?

The problem gives us $\frac{15}{\sqrt{2}}$. We need to eliminate the radical denominator. We can do so by multiplying the numerator and denominator by $\sqrt{2}$.
$\frac{15}{\sqrt{2}} \cdot \frac{\sqrt{2}}{\sqrt{2}} = \frac{15 \sqrt{2}}{2} = 7.5 \sqrt{2}$
$7.5 \cdot \sqrt{2} \approx 10.6$