Question
State whether the following statements are true or false? Justify your answer. $\frac{\sqrt{12}}{\sqrt{3}}$ is not a rational number as $\sqrt{12}$ and $\sqrt{3}$ are not integers.
✓
Answer
False. Solution: $\frac{\sqrt{12}}{\sqrt{3}}=\frac{\sqrt{4\times3}}{\sqrt{3}}=\frac{\sqrt{4}\times\sqrt{3}}{\sqrt{3}}=2\times1=2,$ which is a rational number.
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