Solve -sqrt{24}+3sqrt{6}+3sqrt{6}

$$- \sqrt { 24 } + 3 \sqrt { 6 } + 3 \sqrt { 6 }$$

Evaluate

$$4\sqrt{6}\approx 9.797958971$$

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}.

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

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

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

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

$$4\sqrt{6}$$