Rationalizing Radicals Worksheet
Grade 9 Math worksheet focusing on rationalizing single and binomial denominator radicals.
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Rationalizing Radicals
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Read each question carefully and rationalize the denominator in each expression. Simplify your answers completely.
1. Rationalize the denominator: \(\frac{3}{\sqrt{5}}\)
2. Simplify and rationalize the denominator: \(\frac{6}{\sqrt{12}}\)
3. Rationalize the denominator: \(\frac{1}{2 + \sqrt{3}}\)
4. Rationalize the denominator: \(\frac{\sqrt{2}}{5 - \sqrt{2}}\)
5. To rationalize a denominator of the form \(a + \sqrt{b}\), you multiply the numerator and denominator by its .
6. The product of \((X - Y)(X + Y)\) is \(X^2 - Y^2\), which is known as the of squares.
7. Rationalizing the denominator means removing any radical expressions from the numerator.
True
False
8. Rationalize the denominator: \(\frac{\sqrt{3} + 1}{\sqrt{3} - 1}\)