Solve 4/-sqrt{2}

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

Evaluate

$$-2\sqrt{2}\approx -2.828427125$$

Solution Steps

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

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

The square of \sqrt{2} is 2.

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

Cancel out 2 in both numerator and denominator.

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

Anything divided by -1 gives its opposite.

$$-2\sqrt{2}$$