Dividing Radicals Worksheet
Grade 11 worksheet on dividing radical expressions, including rationalizing denominators.
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Standards
Topics
Dividing Radicals
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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 \(\frac{10}{\sqrt{5}}\) ?
\(\sqrt{2}\)
\(2\sqrt{5}\)
\(5\sqrt{2}\)
\(50\)
8. The expression \(\frac{6}{\sqrt{7} - 2}\) is equal to:
\(2(\sqrt{7} + 2)\)
\(\frac{6\sqrt{7} + 12}{3}\)
\(6\sqrt{7} + 12\)
\(2\sqrt{7} - 4\)
9. \(\frac{\sqrt{18}}{\sqrt{2}} = 3\)
True
False
10. The expression \(\frac{1}{\sqrt{2}}\) is in simplest radical form.
True
False