Solve 4sqrt{5}+2sqrt{12}

$$4 \sqrt { 5 } + 2 \sqrt { 12 }$$

Evaluate

$$4\left(\sqrt{3}+\sqrt{5}\right)\approx 15.87247514$$

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}.

$$4\sqrt{5}+2\times 2\sqrt{3}$$

Multiply 2 and 2 to get 4.

$$4\sqrt{5}+4\sqrt{3}$$

Factor

$$4 {(\sqrt{3} + \sqrt{5})} = 15.87247514$$