Solve 1/sqrt{2*5}

$$\frac { 1 } { \sqrt { 2 \times 5 } }$$

Evaluate

$$\frac{\sqrt{10}}{10}\approx 0.316227766$$

Solution Steps

Multiply 2 and 5 to get 10.

$$\frac{1}{\sqrt{10}}$$

Rationalize the denominator of \frac{1}{\sqrt{10}} by multiplying numerator and denominator by \sqrt{10}.

$$\frac{\sqrt{10}}{\left(\sqrt{10}\right)^{2}}$$

The square of \sqrt{10} is 10.

$$\frac{\sqrt{10}}{10}$$