Solve 10*1/2/frac{1{1}sqrt{2}}

$$\frac{ 10 \times \frac{ 1 }{ 2 } }{ \frac{ 1 }{ 1 } \sqrt{ 2 } }$$

Evaluate

$$\frac{5\sqrt{2}}{2}\approx 3.535533906$$

Solution Steps

Divide 1 by 1 to get 1.

$$\frac{10\times \frac{1}{2}}{1\sqrt{2}}$$

Multiply 10 and \frac{1}{2} to get \frac{10}{2}.

$$\frac{\frac{10}{2}}{1\sqrt{2}}$$

Divide 10 by 2 to get 5.

$$\frac{5}{1\sqrt{2}}$$

Rationalize the denominator of \frac{5}{1\sqrt{2}} by multiplying numerator and denominator by \sqrt{2}.

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

The square of \sqrt{2} is 2.

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