Solve sqrt{43/31}=

$$\sqrt { \frac { 43 } { 31 } } =$$

Evaluate

$$\frac{\sqrt{1333}}{31}\approx 1.177750727$$

Solution Steps

Rewrite the square root of the division \sqrt{\frac{43}{31}} as the division of square roots \frac{\sqrt{43}}{\sqrt{31}}.

$$\frac{\sqrt{43}}{\sqrt{31}}$$

Rationalize the denominator of \frac{\sqrt{43}}{\sqrt{31}} by multiplying numerator and denominator by \sqrt{31}.

$$\frac{\sqrt{43}\sqrt{31}}{\left(\sqrt{31}\right)^{2}}$$

The square of \sqrt{31} is 31.

$$\frac{\sqrt{43}\sqrt{31}}{31}$$

To multiply \sqrt{43} and \sqrt{31}, multiply the numbers under the square root.

$$\frac{\sqrt{1333}}{31}$$