Classify the following numbers as rational or irrational with justification:
$(i)$ $\sqrt{196}$
$(ii)$ $3 \sqrt{18}$
Classify the following numbers as rational or irrational with justification:
$(i)$ $\sqrt{196}$
$(ii)$ $3 \sqrt{18}$
$(i)$ $\sqrt{196}=14,$ which is a rational number.
$(ii)$ $3 \sqrt{18}=3 \sqrt{9 \times 2}=3 \times 3 \sqrt{2},=9 \sqrt{2},$ which is the product of a rational and an irrational number.
Hence, $3 \sqrt{18}$ is an irrational number.
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