Solve 253/16*1/4sqrt{5}

$$\frac{ 253 }{ 16 } \times \frac{ 1 }{ 4 \sqrt{ 5 } }$$

Evaluate

$$\frac{253\sqrt{5}}{320}\approx 1.767891245$$

Solution Steps

Rationalize the denominator of \frac{1}{4\sqrt{5}} by multiplying numerator and denominator by \sqrt{5}.

$$\frac{253}{16}\times \frac{\sqrt{5}}{4\left(\sqrt{5}\right)^{2}}$$

The square of \sqrt{5} is 5.

$$\frac{253}{16}\times \frac{\sqrt{5}}{4\times 5}$$

Multiply 4 and 5 to get 20.

$$\frac{253}{16}\times \frac{\sqrt{5}}{20}$$

Multiply \frac{253}{16} times \frac{\sqrt{5}}{20} by multiplying numerator times numerator and denominator times denominator.

$$\frac{253\sqrt{5}}{16\times 20}$$

Multiply 16 and 20 to get 320.

$$\frac{253\sqrt{5}}{320}$$