Which of the following expressions simplifies to a rational number?

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Problem

Which of the following expressions simplifies to a rational number? (a) 32+18+50\sqrt{32}+\sqrt{18}+\sqrt{50} (b) 72−32−8\sqrt{72}-\sqrt{32}-\sqrt{8} (c) 50−32−18\sqrt{50}-\sqrt{32}-\sqrt{18} (d) 72−18−8\sqrt{72}-\sqrt{18}-\sqrt{8}

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