Solve -sqrt{2}*sqrt{12}

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

Evaluate

$$-2\sqrt{6}\approx -4.898979486$$

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}.

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

Multiply -1 and 2 to get -2.

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

To multiply \sqrt{2} and \sqrt{3}, multiply the numbers under the square root.

$$-2\sqrt{6}$$