Solve -sqrt{3}*sqrt{12}+(-sqrt{3})*sqrt{3}

$$- \sqrt { 3 } \cdot \sqrt { 12 } + ( - \sqrt { 3 } ) \cdot \sqrt { 3 }$$

Evaluate

$$-9$$

Solution Steps

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}.

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

Combine \left(-\sqrt{3}\right)\times 2\sqrt{3} and \left(-\sqrt{3}\right)\sqrt{3} to get 3\left(-\sqrt{3}\right)\sqrt{3}.

$$3\left(-\sqrt{3}\right)\sqrt{3}$$

Multiply 3 and -1 to get -3.

$$-3\sqrt{3}\sqrt{3}$$

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

$$-3\times 3$$

Multiply -3 and 3 to get -9.

$$-9$$

Factor

$$-9$$