Question

How do you simplify $1$ over square root $2$?

Answer 1

Simplify the given expression:

Given,

$1$ over square root $2$

$\Rightarrow \frac{1}{\sqrt{2}}$

We can simplify this by rationalizing.

Multiply and divide by $\sqrt{2}$

$$\begin{gathered} \Rightarrow \frac{1}{\sqrt{2}}\times \frac{\sqrt{2}}{\sqrt{2}}=\frac{\sqrt{2}}{2} \\ =\frac{1.414}{2}\left[\because \sqrt{2}=1.414\right] \\ =0.707 \end{gathered}$$

Hence, $0.707$ is the simplification of $1$ over square root $2$ .