Dividing Radicals HW

A radical is an expression that includes a root, such as a square root (√) or cube root (∛).

To simplify a radical expression, factor the number under the radical into its prime factors and look for pairs (for square roots) or groups (for cube roots) to simplify.

$$\text{The square root of 16 is } 4$$ .

To divide radicals, simplify each radical separately, then divide the coefficients and the radicands.

$$\frac{2}{7}$$ .

The square root of a fraction $$\frac{a}{b}$$ is $$\frac{\text{sqrt}(a)}{\text{sqrt}(b)}$$ .

$$14\text{sqrt}(5)$$ .

$$\text{The square root of 27 is } 3\text{sqrt}(3)$$ .

$$\frac{1}{6}$$ .

To rationalize the denominator, multiply the numerator and denominator by a suitable radical that will eliminate the radical in the denominator.