Solve 16:-sqrt{2}

$$16 : - \sqrt { 2 }$$

Evaluate

$$-8\sqrt{2}\approx -11.313708499$$

Solution Steps

Rationalize the denominator of \frac{16}{-\sqrt{2}} by multiplying numerator and denominator by \sqrt{2}.

$$\frac{16\sqrt{2}}{-\left(\sqrt{2}\right)^{2}}$$

The square of \sqrt{2} is 2.

$$\frac{16\sqrt{2}}{-2}$$

Cancel out 2 in both numerator and denominator.

$$\frac{8\sqrt{2}}{-1}$$

Anything divided by -1 gives its opposite.

$$-8\sqrt{2}$$