Question

$$( \frac{ 1 }{ \sqrt{ 2) \times } }$$

Answer

2*sqrt(2)

Solution


Regroup terms.
\[\frac{1}{\sqrt{2}}\]
Rationalize the denominator: \(\frac{1}{\sqrt{2}} \cdot \frac{\sqrt{2}}{\sqrt{2}}=\frac{\sqrt{2}}{\times 2}\).
\[\frac{\sqrt{2}}{\times 2}\]
Regroup terms.
\[2\sqrt{2}/\]
Simplify.
\[2\sqrt{2}\]

Decimal Form: 2.828427