Solve 2*(sqrt{5})*(1/sqrt{5})

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

Evaluate

$$2$$

Solution Steps

Rationalize the denominator of \frac{1}{\sqrt{5}} by multiplying numerator and denominator by \sqrt{5}.

$$2\sqrt{5}\times \frac{\sqrt{5}}{\left(\sqrt{5}\right)^{2}}$$

The square of \sqrt{5} is 5.

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

Express 2\times \frac{\sqrt{5}}{5} as a single fraction.

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

Express \frac{2\sqrt{5}}{5}\sqrt{5} as a single fraction.

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

Multiply \sqrt{5} and \sqrt{5} to get 5.

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

Cancel out 5 and 5.

$$2$$

Factor

$$2$$