Solve frac{8sqrt{64}}{sqrt{6}}

$$\frac { 8 \sqrt { 64 } } { \sqrt { 6 } }$$

Evaluate

$$\frac{32\sqrt{6}}{3}\approx 26.12789059$$

Solution Steps

Calculate the square root of 64 and get 8.

$$\frac{8\times 8}{\sqrt{6}}$$

Multiply 8 and 8 to get 64.

$$\frac{64}{\sqrt{6}}$$

Rationalize the denominator of \frac{64}{\sqrt{6}} by multiplying numerator and denominator by \sqrt{6}.

$$\frac{64\sqrt{6}}{\left(\sqrt{6}\right)^{2}}$$

The square of \sqrt{6} is 6.

$$\frac{64\sqrt{6}}{6}$$

Divide 64\sqrt{6} by 6 to get \frac{32}{3}\sqrt{6}.

$$\frac{32}{3}\sqrt{6}$$