Solve 8/3*(8/sqrt{97})

$$\frac{ 8 }{ 3 } \times ( \frac{ 8 }{ \sqrt{ 97 } } )$$

Evaluate

$$\frac{64\sqrt{97}}{291}\approx 2.166071819$$

Solution Steps

Rationalize the denominator of \frac{8}{\sqrt{97}} by multiplying numerator and denominator by \sqrt{97}.

$$\frac{8}{3}\times \frac{8\sqrt{97}}{\left(\sqrt{97}\right)^{2}}$$

The square of \sqrt{97} is 97.

$$\frac{8}{3}\times \frac{8\sqrt{97}}{97}$$

Multiply \frac{8}{3} times \frac{8\sqrt{97}}{97} by multiplying numerator times numerator and denominator times denominator.

$$\frac{8\times 8\sqrt{97}}{3\times 97}$$

Multiply 8 and 8 to get 64.

$$\frac{64\sqrt{97}}{3\times 97}$$

Multiply 3 and 97 to get 291.

$$\frac{64\sqrt{97}}{291}$$