Solve -4sqrt{12}*sqrt{8}

$$- 4 \sqrt { 12 } \cdot \sqrt { 8 }$$

Evaluate

$$-16\sqrt{6}\approx -39.191835885$$

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}.

$$-4\times 2\sqrt{3}\sqrt{8}$$

Multiply -4 and 2 to get -8.

$$-8\sqrt{3}\sqrt{8}$$

Factor 8=2^{2}\times 2. Rewrite the square root of the product \sqrt{2^{2}\times 2} as the product of square roots \sqrt{2^{2}}\sqrt{2}. Take the square root of 2^{2}.

$$-8\sqrt{3}\times 2\sqrt{2}$$

Multiply -8 and 2 to get -16.

$$-16\sqrt{3}\sqrt{2}$$

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

$$-16\sqrt{6}$$