Solve frac{sqrt{10}}{2sqrt{10}}

$$\frac { \sqrt { 10 } } { 2 \sqrt { 10 } }$$

Evaluate

$$\frac{1}{2}=0.5$$

Solution Steps

Rationalize the denominator of \frac{\sqrt{10}}{2\sqrt{10}} by multiplying numerator and denominator by \sqrt{10}.

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

The square of \sqrt{10} is 10.

$$\frac{\sqrt{10}\sqrt{10}}{2\times 10}$$

Multiply \sqrt{10} and \sqrt{10} to get 10.

$$\frac{10}{2\times 10}$$

Multiply 2 and 10 to get 20.

$$\frac{10}{20}$$

Reduce the fraction \frac{10}{20} to lowest terms by extracting and canceling out 10.

$$\frac{1}{2}$$

Factor

$$\frac{1}{2} = 0.5$$