Solve 16/sqrt{2/2}

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

Evaluate

$$16\sqrt{2}\approx 22.627416998$$

Solution Steps

Divide 16 by \frac{\sqrt{2}}{2} by multiplying 16 by the reciprocal of \frac{\sqrt{2}}{2}.

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

Multiply 16 and 2 to get 32.

$$\frac{32}{\sqrt{2}}$$

Rationalize the denominator of \frac{32}{\sqrt{2}} by multiplying numerator and denominator by \sqrt{2}.

$$\frac{32\sqrt{2}}{\left(\sqrt{2}\right)^{2}}$$

The square of \sqrt{2} is 2.

$$\frac{32\sqrt{2}}{2}$$

Divide 32\sqrt{2} by 2 to get 16\sqrt{2}.

$$16\sqrt{2}$$