Solve sqrt{2}*sqrt{6}1/3

$$\sqrt { 2 } \times \sqrt { 6 } \frac { 1 } { 3 }$$

Evaluate

$$\frac{2\sqrt{3}}{3}\approx 1.154700538$$

Solution Steps

Factor 6=2\times 3. Rewrite the square root of the product \sqrt{2\times 3} as the product of square roots \sqrt{2}\sqrt{3}.

$$\sqrt{2}\sqrt{2}\sqrt{3}\times \frac{1}{3}$$

Multiply \sqrt{2} and \sqrt{2} to get 2.

$$2\sqrt{3}\times \frac{1}{3}$$

Multiply 2 and \frac{1}{3} to get \frac{2}{3}.

$$\frac{2}{3}\sqrt{3}$$