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

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

Evaluate

$$4\sqrt{3}\approx 6.92820323$$

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}.

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

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

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

Multiply 6 and 2 to get 12.

$$12\times \frac{1}{3}\sqrt{3}$$

Multiply 12 and \frac{1}{3} to get \frac{12}{3}.

$$\frac{12}{3}\sqrt{3}$$

Divide 12 by 3 to get 4.

$$4\sqrt{3}$$