prove that √5-√3 is not a rational number
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Originally Answered: How can someone prove that √5 - √3 is not a rational number? If √5 - √3 is rational then √5 - √3 = a/b for some integer a/b. Then (√5 - √3)^2 = a^2/b^2 for some integers a^2 and b^2. That is (√5 - √3)^2 is rational.
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