Question

$$\frac{1}{\sqrt{7-2}}$$

Answer

sqrt(5)/5

Solution


Simplify  \(7-2\)  to  \(5\).
\[\frac{1}{\sqrt{5}}\]
Rationalize the denominator: \(\frac{1}{\sqrt{5}} \cdot \frac{\sqrt{5}}{\sqrt{5}}=\frac{\sqrt{5}}{5}\).
\[\frac{\sqrt{5}}{5}\]

Decimal Form: 0.447214