Rationalizing the Denominator Worksheet
Grade 12 Math worksheet on rationalizing the denominator, covering expressions with square roots and cube roots.
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Rationalizing the Denominator
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Carefully rationalize the denominator for each expression. Show all your work for full credit.
1. Rationalize the denominator: \(\frac{3}{\sqrt{5}}\)
2. Rationalize the denominator: \(\frac{2\sqrt{3}}{\sqrt{7}}\)
3. Rationalize the denominator: \(\frac{1}{2\sqrt{6}}\)
4. Rationalize the denominator: \(\frac{1}{\sqrt{2} + 1}\)
5. Rationalize the denominator: \(\frac{5}{3 - \sqrt{2}}\)
6. Rationalize the denominator: \(\frac{\sqrt{3} + 1}{\sqrt{3} - 1}\)
7. Rationalize the denominator: \(\frac{1}{\sqrt[3]{2}}\)
8. Rationalize the denominator: \(\frac{4}{\sqrt[3]{9}}\)
9. To rationalize a denominator with a single square root term, multiply both the numerator and the denominator by the .
10. To rationalize a denominator of the form \(a + \sqrt{b}\), multiply both the numerator and denominator by its , which is \(a - \sqrt{b}\).