Solve sqrt{18}*1/3sqrt{6}=

$$\sqrt { 18 } \times \frac { 1 } { 3 } \sqrt { 6 } =$$

Evaluate

$$2\sqrt{3}\approx 3.464101615$$

Solution Steps

Factor 18=6\times 3. Rewrite the square root of the product \sqrt{6\times 3} as the product of square roots \sqrt{6}\sqrt{3}.

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

Multiply \sqrt{6} and \sqrt{6} to get 6.

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

Multiply 6 and \frac{1}{3} to get \frac{6}{3}.

$$\frac{6}{3}\sqrt{3}$$

Divide 6 by 3 to get 2.

$$2\sqrt{3}$$