Solve sqrt{20}+sqrt{32}

$$\sqrt{ 20 } + \sqrt{ 32 }$$

Evaluate

$$2\left(\sqrt{5}+2\sqrt{2}\right)\approx 10.128990204$$

Solution Steps

Factor 20=2^{2}\times 5. Rewrite the square root of the product \sqrt{2^{2}\times 5} as the product of square roots \sqrt{2^{2}}\sqrt{5}. Take the square root of 2^{2}.

$$2\sqrt{5}+\sqrt{32}$$

Factor 32=4^{2}\times 2. Rewrite the square root of the product \sqrt{4^{2}\times 2} as the product of square roots \sqrt{4^{2}}\sqrt{2}. Take the square root of 4^{2}.

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