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Q.

The least rationalizing factor of $\sqrt{175}$ is

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a

$7 \sqrt{7}$

b

$\sqrt{7}$

c

$\sqrt{5}$

d

$5 \sqrt{7}$

answer is D.

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Detailed Solution

$\sqrt{175} = \sqrt{5 \times 35}$

$= \sqrt{5 \times 5 \times 7}$

$= \sqrt{5^{2} \times 7}$

$= \sqrt{5^{2}} \times \sqrt{7}$

$= 5 \times \sqrt{7}$

$∴ \sqrt{7}$ is least rationalizing factor.

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The least rationalizing factor of 175 is