Solve 2sqrt{3}*-3sqrt{2}*5sqrt{6}

$$2 \sqrt { 3 } \times - 3 \sqrt { 2 } \times 5 \sqrt { 6 }$$

Evaluate

$$-180$$

Solution Steps

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

$$2\times 5\sqrt{3}\left(-3\right)\sqrt{2}\sqrt{3}\sqrt{2}$$

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

$$2\times 5\times 3\left(-3\right)\sqrt{2}\sqrt{2}$$

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

$$2\times 5\times 3\left(-3\right)\times 2$$

Multiply 2 and 5 to get 10.

$$10\times 3\left(-3\right)\times 2$$

Multiply 10 and 3 to get 30.

$$30\left(-3\right)\times 2$$

Multiply 30 and -3 to get -90.

$$-90\times 2$$

Multiply -90 and 2 to get -180.

$$-180$$

Factor

$$-180$$