Question
Identify the following as rational or irrational numbers. Give the decimal representation of rational numbers: $\sqrt{\Big(\frac{9}{27}\Big)}$
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Answer
We have, $\sqrt{\Big(\frac{9}{27}\Big)}$ $=\frac{3}{\sqrt{27}}$ $=\frac{1}{\sqrt{3}}$ Quotient of a rational and an irrational number is irrational numbers so $\frac{1}{\sqrt{3}}$ is an irrational number. $\sqrt{\Big(\frac{9}{27}\Big)}$ is an irrational number.
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