Solve 2/4sqrt{7}

$$\frac { 2 } { 4 \sqrt { 7 } }$$

Evaluate

$$\frac{\sqrt{7}}{14}\approx 0.188982237$$

Solution Steps

Rationalize the denominator of \frac{2}{4\sqrt{7}} by multiplying numerator and denominator by \sqrt{7}.

$$\frac{2\sqrt{7}}{4\left(\sqrt{7}\right)^{2}}$$

The square of \sqrt{7} is 7.

$$\frac{2\sqrt{7}}{4\times 7}$$

Cancel out 2 in both numerator and denominator.

$$\frac{\sqrt{7}}{2\times 7}$$

Multiply 2 and 7 to get 14.

$$\frac{\sqrt{7}}{14}$$