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}
.