Dividing Radicals Worksheet

Dividing Radicals

Simplify each radical expression. Rationalize the denominator where necessary. Show all your work.

1. Simplify the expression: \(\frac{\sqrt{72}}{\sqrt{2}}\)

2. Simplify the expression: \(\frac{10\sqrt{48}}{5\sqrt{3}}\)

3. Rationalize the denominator: \(\frac{3}{\sqrt{5}}\)

4. Rationalize the denominator: \(\frac{6\sqrt{2}}{\sqrt{3}}\)

5. Rationalize the denominator: \(\frac{1}{2 + \sqrt{3}}\)

6. Rationalize the denominator: \(\frac{\sqrt{5}}{\sqrt{5} - \sqrt{2}}\)

7. Simplify: \(\frac{12}{\sqrt{18}}\)

8. Simplify: \(\frac{\sqrt{24x^3}}{\sqrt{6x}}\)