Solve (2sqrt{6})*(3sqrt{12)(1/3sqrt{15})}

$$( 2 \sqrt { 6 } ) \cdot ( 3 \sqrt { 12 ) ( \frac { 1 } { 3 } \sqrt { 15 } ) }$$

Evaluate

$$12\sqrt{30}\approx 65.726706901$$

Solution Steps

Factor 12=6\times 2. Rewrite the square root of the product \sqrt{6\times 2} as the product of square roots \sqrt{6}\sqrt{2}.

$$2\sqrt{6}\times 3\sqrt{6}\sqrt{2}\times \frac{1}{3}\sqrt{15}$$

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

$$2\times 6\times 3\sqrt{2}\times \frac{1}{3}\sqrt{15}$$

Multiply 2 and 6 to get 12.

$$12\times 3\sqrt{2}\times \frac{1}{3}\sqrt{15}$$

Multiply 12 and 3 to get 36.

$$36\sqrt{2}\times \frac{1}{3}\sqrt{15}$$

Multiply 36 and \frac{1}{3} to get \frac{36}{3}.

$$\frac{36}{3}\sqrt{2}\sqrt{15}$$

Divide 36 by 3 to get 12.

$$12\sqrt{2}\sqrt{15}$$

To multiply \sqrt{2} and \sqrt{15}, multiply the numbers under the square root.

$$12\sqrt{30}$$