Solve sqrt{13div2}

$$\sqrt{ 13 \div 2 }$$

Evaluate

$$\frac{\sqrt{26}}{2}\approx 2.549509757$$

Solution Steps

Rewrite the square root of the division \sqrt{\frac{13}{2}} as the division of square roots \frac{\sqrt{13}}{\sqrt{2}}.

$$\frac{\sqrt{13}}{\sqrt{2}}$$

Rationalize the denominator of \frac{\sqrt{13}}{\sqrt{2}} by multiplying numerator and denominator by \sqrt{2}.

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

The square of \sqrt{2} is 2.

$$\frac{\sqrt{13}\sqrt{2}}{2}$$

To multiply \sqrt{13} and \sqrt{2}, multiply the numbers under the square root.

$$\frac{\sqrt{26}}{2}$$