Simplify \sqrt{NUM}.
The number NUM has no perfect-square factors, so \sqrt{NUM} is already the simplest form.
Simplify \sqrt{NUM}.
The number NUM is a perfect square, so \sqrt{NUM} = COEFFICIENT.
Simplify \sqrt{NUM}.
The largest perfect square that divides NUM is COEFFICIENT * COEFFICIENT.
Factoring it out, we have NUM = COEFFICIENT^2 \cdot RADICAL.
Thus, \sqrt{NUM} = COEFFICIENT\sqrt{RADICAL}.