Solve frac{4sqrt{14}}{2sqrt{5}}

$$\frac { 4 \sqrt { 14 } } { 2 \sqrt { 5 } }$$

Evaluate

$$\frac{2\sqrt{70}}{5}\approx 3.346640106$$

Solution Steps

Cancel out 2 in both numerator and denominator.

$$\frac{2\sqrt{14}}{\sqrt{5}}$$

Rationalize the denominator of \frac{2\sqrt{14}}{\sqrt{5}} by multiplying numerator and denominator by \sqrt{5}.

$$\frac{2\sqrt{14}\sqrt{5}}{\left(\sqrt{5}\right)^{2}}$$

The square of \sqrt{5} is 5.

$$\frac{2\sqrt{14}\sqrt{5}}{5}$$

To multiply \sqrt{14} and \sqrt{5}, multiply the numbers under the square root.

$$\frac{2\sqrt{70}}{5}$$