Solve frac{-4sqrt{6}-sqrt{24}}{2}

$$\frac { - 4 \sqrt { 6 } - \sqrt { 24 } } { 2 }$$

Evaluate

$$-3\sqrt{6}\approx -7.348469228$$

Solution Steps

Factor 24=2^{2}\times 6. Rewrite the square root of the product \sqrt{2^{2}\times 6} as the product of square roots \sqrt{2^{2}}\sqrt{6}. Take the square root of 2^{2}.

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

Combine -4\sqrt{6} and -2\sqrt{6} to get -6\sqrt{6}.

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

Divide -6\sqrt{6} by 2 to get -3\sqrt{6}.

$$-3\sqrt{6}$$