Solve frac{sqrt{7}}{sqrt{13}}

$$\frac { \sqrt { 7 } } { \sqrt { 13 } }$$

Evaluate

$$\frac{\sqrt{91}}{13}\approx 0.733799386$$

Solution Steps

Rationalize the denominator of \frac{\sqrt{7}}{\sqrt{13}} by multiplying numerator and denominator by \sqrt{13}.

$$\frac{\sqrt{7}\sqrt{13}}{\left(\sqrt{13}\right)^{2}}$$

The square of \sqrt{13} is 13.

$$\frac{\sqrt{7}\sqrt{13}}{13}$$

To multiply \sqrt{7} and \sqrt{13}, multiply the numbers under the square root.

$$\frac{\sqrt{91}}{13}$$