Solve 14/sqrt{2}*2

$$\frac { 14 } { \sqrt { 2 } } \times 2$$

Evaluate

$$14\sqrt{2}\approx 19.798989873$$

Solution Steps

Rationalize the denominator of \frac{14}{\sqrt{2}} by multiplying numerator and denominator by \sqrt{2}.

$$2\times \frac{14\sqrt{2}}{\left(\sqrt{2}\right)^{2}}$$

The square of \sqrt{2} is 2.

$$2\times \frac{14\sqrt{2}}{2}$$

Divide 14\sqrt{2} by 2 to get 7\sqrt{2}.

$$2\times 7\sqrt{2}$$

Multiply 2 and 7 to get 14.

$$14\sqrt{2}$$