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

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

Evaluate

$$\frac{\sqrt{2}}{2}\approx 0.707106781$$

Solution Steps

Factor 2=1\times 2. Rewrite the square root of the product \sqrt{1\times 2} as the product of square roots \sqrt{1}\sqrt{2}.

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

Multiply \sqrt{1} and \sqrt{1} to get 1.

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

For any term t, t\times 1=t and 1t=t.

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