Solve 24*(4/sqrt{137})

$$24 \times ( \frac{ 4 }{ \sqrt{ 137 } } )$$

Evaluate

$$\frac{96\sqrt{137}}{137}\approx 8.201833514$$

Solution Steps

Rationalize the denominator of \frac{4}{\sqrt{137}} by multiplying numerator and denominator by \sqrt{137}.

$$24\times \frac{4\sqrt{137}}{\left(\sqrt{137}\right)^{2}}$$

The square of \sqrt{137} is 137.

$$24\times \frac{4\sqrt{137}}{137}$$

Express 24\times \frac{4\sqrt{137}}{137} as a single fraction.

$$\frac{24\times 4\sqrt{137}}{137}$$

Multiply 24 and 4 to get 96.

$$\frac{96\sqrt{137}}{137}$$