Dividing Radicals Worksheet

Dividing Radicals

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

1. Simplify: \(\frac{\sqrt{72}}{\sqrt{8}}\)

2. Simplify: \(\frac{\sqrt{48x^5}}{\sqrt{3x}}\)

3. Rationalize the denominator: \(\frac{5}{\sqrt{10}}\)

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

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

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

7. Which of the following is equivalent to \(\frac{10}{\sqrt{5}}\) ?

8. The expression \(\frac{6}{\sqrt{7} - 2}\) is equal to:

9. \(\frac{\sqrt{18}}{\sqrt{2}} = 3\)

10. The expression \(\frac{1}{\sqrt{2}}\) is in simplest radical form.