Solve -4sqrt{12}+10sqrt{3}

$$- 4 \sqrt { 12 } + 10 \sqrt { 3 }$$

Evaluate

$$2\sqrt{3}\approx 3.464101615$$

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}.

$$-4\times 2\sqrt{3}+10\sqrt{3}$$

Multiply -4 and 2 to get -8.

$$-8\sqrt{3}+10\sqrt{3}$$

Combine -8\sqrt{3} and 10\sqrt{3} to get 2\sqrt{3}.

$$2\sqrt{3}$$