Solve sqrt{50}+sqrt{50}

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

Evaluate

$$10\sqrt{2}\approx 14.142135624$$

Solution Steps

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}.

$$5\sqrt{2}+\sqrt{50}$$

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}.

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

Combine 5\sqrt{2} and 5\sqrt{2} to get 10\sqrt{2}.

$$10\sqrt{2}$$