GRE Math : Square Roots and Operations

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Example Question #3 : How To Find A Ratio Of Square Roots

What is the ratio of $\frac{\frac{\sqrt{2}}{\sqrt{7}}}{\frac{\sqrt{3}}{\sqrt{5}}}$ expressed in a:b form?

Possible Answers:

$\sqrt{10}:\sqrt{21}$

$\sqrt{21}:\sqrt{10}$

10:21

$\sqrt{14}:\sqrt{15}$

$\sqrt{6}:\sqrt{35}$

Correct answer:

$\sqrt{10}:\sqrt{21}$

Explanation:

To get into a:b form, multiply the fraction by bottom denominator's reciprocal.

$\frac{\frac{\sqrt{2}}{\sqrt{7}}}{\frac{\sqrt{3}}{\sqrt{5}}}\cdot \frac{\frac{\sqrt{5}}{\sqrt{3}}}{\frac{\sqrt{5}}{\sqrt{3}}}=\frac{\sqrt{10}}{\sqrt{21}}$

The is the numerator of the fraction and is the denominator.

Final answer is $\sqrt{10}:\sqrt{21}$ .

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GRE Math : Square Roots and Operations

Study concepts, example questions & explanations for GRE Math

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Example Questions

Example Question #3 : How To Find A Ratio Of Square Roots

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