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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