Rationalizing Fractions

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Rationalize the denominator. 

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• B

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• D

Explain why the radical expression is or is NOT in simplified form?

• The expression is simplified because the radical number is an odd number.

• The expression is simplified because the radical number has no​ perfect square factors other than 1.

• The expression is not in simplified form because a radical appears in the denominator of a fraction.

• The expression is not simplified because it contains a fraction.

Rationalize the following: \frac{\sqrt{2}}{\sqrt{3}+\sqrt{5}}

• \frac{\sqrt{6}-\sqrt{10}}{8}

• \frac{\sqrt{6}-\sqrt{10}}{-2}

• \frac{\sqrt{6}+\sqrt{10}}{8}

• \frac{2\sqrt{3}+2\sqrt{5}}{-2}