Solve -4sqrt{8}*sqrt{6}

$$- 4 \sqrt { 8 } \cdot \sqrt { 6 }$$

Evaluate

$$-16\sqrt{3}\approx -27.712812921$$

Solution Steps

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}.

$$-4\times 2\sqrt{2}\sqrt{6}$$

Multiply -4 and 2 to get -8.

$$-8\sqrt{2}\sqrt{6}$$

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}.

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

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

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

Multiply -8 and 2 to get -16.

$$-16\sqrt{3}$$