Which among the following is a rational number?

\sqrt{2}

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\sqrt{π}

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\sqrt{7}

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\sqrt{\frac{5}{25}}

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\sqrt{\frac{64}{49}}

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Solution

The correct option is E $\sqrt{\frac{64}{49}}$
$\sqrt{\frac{64}{49}} = \frac{\sqrt{64}}{\sqrt{49}} = \frac{8}{7}$
Hence, option E is a rational number.
Rest all are irrational numbers.

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Which of the following is a true statement ?

(a) (\pi\) and $\frac{22}{7}$ are both rationals.

(b) $π$ and $\frac{22}{7}$ are both irrationals.

(d) $π$ is irrational and $\frac{22}{7}$ is rational.

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