Solve 5*2/sqrt{2}

$$5 \times \frac { 2 } { \sqrt { 2 } }$$

Evaluate

$$5\sqrt{2}\approx 7.071067812$$

Solution Steps

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

$$5\times \frac{2\sqrt{2}}{\left(\sqrt{2}\right)^{2}}$$

The square of \sqrt{2} is 2.

$$5\times \frac{2\sqrt{2}}{2}$$

Cancel out 2 and 2.

$$5\sqrt{2}$$