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Simplifying radicals: a set of fractions with square roots in the denominator.

A mathematical worksheet displaying three columns of fractions with square roots in the denominators, including expressions like 5/√2, 6/√3, and 10/√12.

A mathematical worksheet displaying three columns of fractions with square roots in the denominators, including expressions like 5/√2, 6/√3, and 10/√12.

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Show Answer Key & Explanations Step-by-step solution for: Rationalising the denominator - Variation Theory
Final Answer:
All expressions can be simplified by rationalizing the denominator. Here are the simplified forms:

- $\frac{5}{\sqrt{2}} = \frac{5\sqrt{2}}{2}$
- $\frac{5}{\sqrt{6}} = \frac{5\sqrt{6}}{6}$
- $\frac{5}{\sqrt{5}} = \sqrt{5}$
- $\frac{6}{\sqrt{2}} = 3\sqrt{2}$
- $\frac{5}{2\sqrt{6}} = \frac{5\sqrt{6}}{12}$
- $\frac{8}{\sqrt{8}} = 2\sqrt{2}$
- $\frac{6}{\sqrt{3}} = 2\sqrt{3}$
- $\frac{5}{3\sqrt{6}} = \frac{5\sqrt{6}}{18}$
- $\frac{10}{\sqrt{8}} = \frac{5\sqrt{2}}{2}$
- $\frac{4}{\sqrt{3}} = \frac{4\sqrt{3}}{3}$
- $\frac{5}{10\sqrt{6}} = \frac{\sqrt{6}}{12}$
- $\frac{10}{\sqrt{12}} = \frac{5\sqrt{3}}{3}$
- $\frac{4}{\sqrt{6}} = \frac{2\sqrt{6}}{3}$
- $\frac{5}{10\sqrt{5}} = \frac{\sqrt{5}}{10}$
- $\frac{10}{2\sqrt{3}} = \frac{5\sqrt{3}}{3}$
Parent Tip: Review the logic above to help your child master the concept of rationalize denominator worksheet.
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