Solve frac{8sqrt{2}*frac{sqrt{2}}{2}}{1/2}

$$\frac { 8 \sqrt { 2 } * \frac { \sqrt { 2 } } { 2 } } { \frac { 1 } { 2 } }$$

Evaluate

$$16$$

Solution Steps

Cancel out 2, the greatest common factor in 8 and 2.

$$\frac{4\sqrt{2}\sqrt{2}}{\frac{1}{2}}$$

Multiply \sqrt{2} and \sqrt{2} to get 2.

$$\frac{4\times 2}{\frac{1}{2}}$$

Multiply 4 and 2 to get 8.

$$\frac{8}{\frac{1}{2}}$$

Divide 8 by \frac{1}{2} by multiplying 8 by the reciprocal of \frac{1}{2}.

$$8\times 2$$

Multiply 8 and 2 to get 16.

$$16$$

Factor

$$2^{4}$$