Solve sqrt{50}+sqrt{18}-8sqrt{2}

$$\sqrt { 50 } + \sqrt { 18 } - 8 \sqrt { 2 }$$

Evaluate

$$0$$

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}.

$$5\sqrt{2}+\sqrt{18}-8\sqrt{2}$$

Factor 18=3^{2}\times 2. Rewrite the square root of the product \sqrt{3^{2}\times 2} as the product of square roots \sqrt{3^{2}}\sqrt{2}. Take the square root of 3^{2}.

$$5\sqrt{2}+3\sqrt{2}-8\sqrt{2}$$

Combine 5\sqrt{2} and 3\sqrt{2} to get 8\sqrt{2}.

$$8\sqrt{2}-8\sqrt{2}$$

Combine 8\sqrt{2} and -8\sqrt{2} to get 0.

$$0$$

Factor

$$0$$