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

$$2 \sqrt { 3 } - 3 \sqrt { 2 } * 2 \sqrt { 6 }$$

Evaluate

$$-10\sqrt{3}\approx -17.320508076$$

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}.

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

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

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

Multiply 2 and 3 to get 6.

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

Multiply 6 and 2 to get 12.

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

Combine 2\sqrt{3} and -12\sqrt{3} to get -10\sqrt{3}.

$$-10\sqrt{3}$$