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A=4\sqrt{2}-\sqrt{50}+\sqrt{2}
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}.
A=4\sqrt{2}-5\sqrt{2}+\sqrt{2}
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}.
A=-\sqrt{2}+\sqrt{2}
Combine 4\sqrt{2} and -5\sqrt{2} to get -\sqrt{2}.
A=0
Combine -\sqrt{2} and \sqrt{2} to get 0.