Question
Rationalise the denominator of $\frac{1}{\sqrt{2}}$
✓
Answer
$\frac{1}{\sqrt{2}}=\frac{1}{\sqrt{2}} \times \frac{\sqrt{2}}{\sqrt{2}}$ (Rationalize the denominator)
$=\frac{\sqrt{2}}{2} $ (since $\sqrt{2} \cdot \sqrt{2}$ = 2)
In this form, it is easy to locate $\frac{1}{\sqrt{2}}$ on the number line. It is halfway between 0 and $\sqrt{2}$
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