Dividing Radicals Worksheet
Practice dividing radical expressions and rationalizing denominators for Grade 10 Math students.
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Dividing Radicals
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Simplify each radical expression by dividing and rationalizing the denominator where necessary. Show all your work.
1. Simplify the expression: \(\frac{\sqrt{48}}{\sqrt{3}}\)
2. Simplify the expression: \(\frac{\sqrt{75x^3}}{\sqrt{3x}}\)
3. Simplify the expression: \(\frac{10\sqrt{98}}{5\sqrt{2}}\)
4. Rationalize the denominator: \(\frac{5}{\sqrt{7}}\)
5. Rationalize the denominator: \(\frac{2\sqrt{3}}{\sqrt{10}}\)
6. Rationalize the denominator: \(\frac{y}{\sqrt{2y}}\)
7. Rationalize the denominator: \(\frac{1}{3 + \sqrt{2}}\)
8. Rationalize the denominator: \(\frac{\sqrt{5}}{4 - \sqrt{5}}\)
9. Rationalize the denominator: \(\frac{\sqrt{x} + \sqrt{y}}{\sqrt{x} - \sqrt{y}}\)
10. Which of the following is equivalent to \(\frac{12}{\sqrt{6}}\) ?
\(\frac{\sqrt{2}}{2}\)
\(2\sqrt{6}\)
\(\frac{6}{\sqrt{6}}\)
\(12\sqrt{6}\)