Rationalizing Radicals Worksheet
Grade 11 Math worksheet focusing on rationalizing monomial and binomial denominators with radicals.
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Rationalizing Radicals
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Rationalize the denominator for each expression. Show all your work.
1. Rationalize the denominator: \(\frac{3}{\sqrt{5}}\)
2. Rationalize the denominator: \(\frac{2\sqrt{3}}{\sqrt{6}}\)
3. Rationalize the denominator: \(\frac{1}{2 + \sqrt{3}}\)
4. Rationalize the denominator: \(\frac{\sqrt{5}}{\sqrt{5} - \sqrt{2}}\)
5. To rationalize a denominator with a single square root, you multiply the numerator and denominator by the .
6. When rationalizing a binomial denominator of the form \(a + \sqrt{b}\), you multiply by its , which is \(a - \sqrt{b}\).
7. Which of the following is the rationalized form of \(\frac{4}{\sqrt{8}}\)?
\(\frac{4\sqrt{8}}{8}\)
\(\frac{\sqrt{2}}{2}\)
\(\sqrt{2}\)
\(\frac{2\sqrt{2}}{4}\)
8. Rationalize the denominator: \(\frac{1}{\sqrt{x} + \sqrt{y}}\)