Question
Classify the following numbers as rational or irrational with justification: $\frac{\sqrt{12}}{\sqrt{75}}$
✓
Answer
$\frac{\sqrt{12}}{\sqrt{75}}=\frac{\sqrt{4\times3}}{\sqrt{25\times3}}=\frac{\sqrt{4}\sqrt{3}}{\sqrt{25}\sqrt{3}}=\frac{2}{5}$ Hence, it is a rational numbers.
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