Question
Classify the number as rational or irrational: $\frac{1}{\sqrt{2}}$
✓
Answer
$\because 1(\neq 0)$ is a rational number and$\sqrt{2}( \neq 0)$ is an irrational number.
($\because$ The quotient of a non-zero rational number with an irrational number is irrational.)
$\therefore$ $\frac{1}{\sqrt{2}}$ is an irrational number.
($\because$ The quotient of a non-zero rational number with an irrational number is irrational.)
$\therefore$ $\frac{1}{\sqrt{2}}$ is an irrational number.
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