Solve -2sqrt{8}-3sqrt{6}+2sqrt{6}

$$-2 \sqrt{ 8 } -3 \sqrt{ 6 } +2 \sqrt{ 6 }$$

Evaluate

$$-\sqrt{6}-4\sqrt{2}\approx -8.106343992$$

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}.

$$-2\times 2\sqrt{2}-3\sqrt{6}+2\sqrt{6}$$

Multiply -2 and 2 to get -4.

$$-4\sqrt{2}-3\sqrt{6}+2\sqrt{6}$$

Combine -3\sqrt{6} and 2\sqrt{6} to get -\sqrt{6}.

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