Classify the following numbers as rational or irrational with justification:
$(i)$ $\sqrt{\frac{9}{27}}$
$(ii)$ $\frac{\sqrt{28}}{\sqrt{343}}$
Classify the following numbers as rational or irrational with justification:
$(i)$ $\sqrt{\frac{9}{27}}$
$(ii)$ $\frac{\sqrt{28}}{\sqrt{343}}$
$(i)$ $\sqrt{\frac{9}{27}}=\frac{1}{\sqrt{3}},$ which of the quotient of a rational and an irrational number and therefore an irrational number.
$(ii)$ $\frac{\sqrt{28}}{\sqrt{343}}=\sqrt{\frac{4}{49}}=\frac{2}{7},$ which is a rational number.
Similar Questions
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