Solve frac{sqrt{2}}{sqrt{43}}

$$\frac { \sqrt { 2 } } { \sqrt { 43 } }$$

Evaluate

$$\frac{\sqrt{86}}{43}\approx 0.215665546$$

Solution Steps

Rationalize the denominator of \frac{\sqrt{2}}{\sqrt{43}} by multiplying numerator and denominator by \sqrt{43}.

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

The square of \sqrt{43} is 43.

$$\frac{\sqrt{2}\sqrt{43}}{43}$$

To multiply \sqrt{2} and \sqrt{43}, multiply the numbers under the square root.

$$\frac{\sqrt{86}}{43}$$