Solve sqrt{32}+sqrt{50}

$$\sqrt{ 32 } + \sqrt{ 50 }$$

Evaluate

$$9\sqrt{2}\approx 12.727922061$$

Solution Steps

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}.

$$4\sqrt{2}+\sqrt{50}$$

Factor 50=5^{2}\times 2. Rewrite the square root of the product \sqrt{5^{2}\times 2} as the product of square roots \sqrt{5^{2}}\sqrt{2}. Take the square root of 5^{2}.

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

Combine 4\sqrt{2} and 5\sqrt{2} to get 9\sqrt{2}.

$$9\sqrt{2}$$