Question
Classify the following numbers as rational or irrational with justification: $\sqrt{\frac{\sqrt{28}}{\sqrt{343}}}$
✓
Answer
$\frac{\sqrt{28}}{\sqrt{343}}=\frac{\sqrt{2\times2\times7}}{\sqrt{7\times7\times7}}=\frac{2\sqrt{7}}{7\sqrt{7}}=\frac{2}{7}$ Hence, it is a rational number.
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