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

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

Evaluate

$$4\left(\sqrt{3}+2\right)\approx 14.92820323$$

Solution Steps

Calculate the square root of 16 and get 4.

$$2\sqrt{3}+2\times 4+\sqrt{12}$$

Multiply 2 and 4 to get 8.

$$2\sqrt{3}+8+\sqrt{12}$$

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}.

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

Combine 2\sqrt{3} and 2\sqrt{3} to get 4\sqrt{3}.

$$4\sqrt{3}+8$$