Solve frac{sqrt{4}}{4sqrt{5}}

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

Evaluate

$$\frac{\sqrt{5}}{10}\approx 0.223606798$$

Solution Steps

Calculate the square root of 4 and get 2.

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

Rationalize the denominator of \frac{2}{4\sqrt{5}} by multiplying numerator and denominator by \sqrt{5}.

$$\frac{2\sqrt{5}}{4\left(\sqrt{5}\right)^{2}}$$

The square of \sqrt{5} is 5.

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

Cancel out 2 in both numerator and denominator.

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

Multiply 2 and 5 to get 10.

$$\frac{\sqrt{5}}{10}$$