Solve 4/8sqrt{66}

$$\frac{ 4 }{ 8 \sqrt{ 66 } }$$

Evaluate

$$\frac{\sqrt{66}}{132}\approx 0.061545745$$

Solution Steps

Rationalize the denominator of \frac{4}{8\sqrt{66}} by multiplying numerator and denominator by \sqrt{66}.

$$\frac{4\sqrt{66}}{8\left(\sqrt{66}\right)^{2}}$$

The square of \sqrt{66} is 66.

$$\frac{4\sqrt{66}}{8\times 66}$$

Cancel out 4 in both numerator and denominator.

$$\frac{\sqrt{66}}{2\times 66}$$

Multiply 2 and 66 to get 132.

$$\frac{\sqrt{66}}{132}$$