Solve frac{alpha/sqrt{102}}{4alpha}

$$\frac { \frac { \alpha } { \sqrt { 102 } } } { 4 \alpha }$$

Evaluate

$$\frac{\sqrt{102}}{408}\approx 0.024753689$$

Solution Steps

Express \frac{\frac{\alpha }{\sqrt{102}}}{4\alpha } as a single fraction.

$$\frac{\alpha }{\sqrt{102}\times 4\alpha }$$

Cancel out \alpha in both numerator and denominator.

$$\frac{1}{4\sqrt{102}}$$

Rationalize the denominator of \frac{1}{4\sqrt{102}} by multiplying numerator and denominator by \sqrt{102}.

$$\frac{\sqrt{102}}{4\left(\sqrt{102}\right)^{2}}$$

The square of \sqrt{102} is 102.

$$\frac{\sqrt{102}}{4\times 102}$$

Multiply 4 and 102 to get 408.

$$\frac{\sqrt{102}}{408}$$