Solve sqrt{52div28}

$$\sqrt{ 52 \div 28 }$$

Evaluate

$$\frac{\sqrt{91}}{7}\approx 1.362770288$$

Solution Steps

Reduce the fraction \frac{52}{28} to lowest terms by extracting and canceling out 4.

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

Rewrite the square root of the division \sqrt{\frac{13}{7}} as the division of square roots \frac{\sqrt{13}}{\sqrt{7}}.

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

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

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

The square of \sqrt{7} is 7.

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

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

$$\frac{\sqrt{91}}{7}$$