Solve 64*frac{8/sqrt{2}}{3}

$$\frac{ 64 \times \frac{ 8 }{ \sqrt{ 2 } } }{ 3 }$$

Evaluate

$$\frac{256\sqrt{2}}{3}\approx 120.679557323$$

Solution Steps

Rationalize the denominator of \frac{8}{\sqrt{2}} by multiplying numerator and denominator by \sqrt{2}.

$$\frac{64\times \frac{8\sqrt{2}}{\left(\sqrt{2}\right)^{2}}}{3}$$

The square of \sqrt{2} is 2.

$$\frac{64\times \frac{8\sqrt{2}}{2}}{3}$$

Divide 8\sqrt{2} by 2 to get 4\sqrt{2}.

$$\frac{64\times 4\sqrt{2}}{3}$$

Multiply 64 and 4 to get 256.

$$\frac{256\sqrt{2}}{3}$$