Classify the following numbers as rational or irrational with jus… - Vidyadip

Question

Classify the following numbers as rational or irrational with justification: $\sqrt{\frac{9}{27}}$

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Answer

$\sqrt{\frac{9}{27}}=\sqrt{\frac{9}{9\times3}}=\frac{1}{\sqrt{3}}$ Hence, it is an irrational number, because $\sqrt{3}$ is an irrational number.

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