Solve -sqrt{12}+sqrt{16}+2sqrt{3}

$$- \sqrt{ 12 } + \sqrt{ 16 } +2 \sqrt{ 3 }$$

Evaluate

$$4$$

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}.

$$-2\sqrt{3}+\sqrt{16}+2\sqrt{3}$$

Calculate the square root of 16 and get 4.

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

Combine -2\sqrt{3} and 2\sqrt{3} to get 0.

$$4$$

Factor

$$2^{2}$$