Solve sqrt{8}+sqrt{50}=

$$\sqrt { 8 } + \sqrt { 50 } =$$

Evaluate

$$7\sqrt{2}\approx 9.899494937$$

Solution Steps

Factor 8=2^{2}\times 2. Rewrite the square root of the product \sqrt{2^{2}\times 2} as the product of square roots \sqrt{2^{2}}\sqrt{2}. Take the square root of 2^{2}.

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

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}.

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

Combine 2\sqrt{2} and 5\sqrt{2} to get 7\sqrt{2}.

$$7\sqrt{2}$$