Solve (2sqrt{3})(-3sqrt{3})(3sqrt{12})

$$( 2 \sqrt { 3 } ) ( - 3 \sqrt { 3 } ) ( 3 \sqrt { 12 } )$$

Evaluate

$$-108\sqrt{3}\approx -187.061487217$$

Solution Steps

Multiply \sqrt{3} and \sqrt{3} to get 3.

$$2\times 3\left(-3\right)\times 3\sqrt{12}$$

Multiply 2 and 3 to get 6.

$$6\left(-3\right)\times 3\sqrt{12}$$

Multiply 6 and -3 to get -18.

$$-18\times 3\sqrt{12}$$

Multiply -18 and 3 to get -54.

$$-54\sqrt{12}$$

Factor 12=2^{2}\times 3. Rewrite the square root of the product \sqrt{2^{2}\times 3} as the product of square roots \sqrt{2^{2}}\sqrt{3}. Take the square root of 2^{2}.

$$-54\times 2\sqrt{3}$$

Multiply -54 and 2 to get -108.

$$-108\sqrt{3}$$