Solve 62/2sqrt{29*sqrt{94}}

$$\frac { 62 } { 2 \sqrt { 29 } \times \sqrt { 94 } }$$

Evaluate

$$\frac{31\sqrt{2726}}{2726}\approx 0.593743363$$

Solution Steps

To multiply \sqrt{29} and \sqrt{94}, multiply the numbers under the square root.

$$\frac{62}{2\sqrt{2726}}$$

Rationalize the denominator of \frac{62}{2\sqrt{2726}} by multiplying numerator and denominator by \sqrt{2726}.

$$\frac{62\sqrt{2726}}{2\left(\sqrt{2726}\right)^{2}}$$

The square of \sqrt{2726} is 2726.

$$\frac{62\sqrt{2726}}{2\times 2726}$$

Cancel out 2 in both numerator and denominator.

$$\frac{31\sqrt{2726}}{2726}$$