Classify the following numbers as rational or irrational:
$\frac{2 \sqrt{7}}{7 \sqrt{7}}$

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Solution

$\frac{2 \sqrt{7}}{7 \sqrt{7}}$ = $\frac{2}{7} \times \frac{\sqrt{7}}{\sqrt{7}}$
= $\frac{2}{7} \times 1$ [As $\frac{\sqrt{7}}{\sqrt{7}}$ = $1$ ]
= $\frac{2}{7}$
Since the number, $\frac{2}{7}$ is in $\frac{p}{q}$ form
Therefore, $\frac{2 \sqrt{7}}{7 \sqrt{7}}$ is rational.

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Classify $\frac{2 \sqrt{7}}{7 \sqrt{7}}$ as rational or irrational.

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Classify the following numbers as rational or irrational:2777

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Classify the following numbers as rational or irrational:
$\frac{2 \sqrt{7}}{7 \sqrt{7}}$

$\frac{2 \sqrt{7}}{7 \sqrt{7}}$ = $\frac{2}{7} \times \frac{\sqrt{7}}{\sqrt{7}}$
= $\frac{2}{7} \times 1$ [As $\frac{\sqrt{7}}{\sqrt{7}}$ = $1$ ]
= $\frac{2}{7}$
Since the number, $\frac{2}{7}$ is in $\frac{p}{q}$ form
Therefore, $\frac{2 \sqrt{7}}{7 \sqrt{7}}$ is rational.