# What is the simplest radical form of -5/2 sqrt112?

I found: $- 10 \sqrt{7}$
$- \frac{5}{2} \sqrt{112} = - \frac{5}{2} \sqrt{16 \cdot 7} = = - \frac{5}{2} \sqrt{7} \sqrt{16} = - \frac{5}{2} \cdot 4 \sqrt{7} = - 10 \sqrt{7}$