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

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

Evaluate

$$3\left(\sqrt{2}+6\right)\approx 22.242640687$$

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}.

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

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}.

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

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

$$3\sqrt{2}+18$$