Solve 1/sqrt{2}*2*4

$$\frac{ 1 }{ \sqrt{ 2 } } \times 2 \times 4$$

Evaluate

$$4\sqrt{2}\approx 5.656854249$$

Solution Steps

Multiply 2 and 4 to get 8.

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

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

$$8\times \frac{\sqrt{2}}{\left(\sqrt{2}\right)^{2}}$$

The square of \sqrt{2} is 2.

$$8\times \frac{\sqrt{2}}{2}$$

Cancel out 2, the greatest common factor in 8 and 2.

$$4\sqrt{2}$$