Solve frac{4sqrt{2}}{sqrt{2}}

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

Evaluate

$$4$$

Solution Steps

Rationalize the denominator of \frac{4\sqrt{2}}{\sqrt{2}} by multiplying numerator and denominator by \sqrt{2}.

$$\frac{4\sqrt{2}\sqrt{2}}{\left(\sqrt{2}\right)^{2}}$$

The square of \sqrt{2} is 2.

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

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

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

Multiply 4 and 2 to get 8.

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

Divide 8 by 2 to get 4.

$$4$$

Factor

$$2^{2}$$