Solve frac{8sqrt{2}}{sqrt{2}}

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

Evaluate

$$8$$

Solution Steps

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

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

The square of \sqrt{2} is 2.

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

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

$$\frac{8\times 2}{2}$$

Multiply 8 and 2 to get 16.

$$\frac{16}{2}$$

Divide 16 by 2 to get 8.

$$8$$

Factor

$$2^{3}$$