The reciprocal of an irrational number is
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The reciprocal of anyirrational number is irrational. ... Then 1/x = a/b where a and b are integers, a ≠ 0 (since 0 is a rational number) and b ≠ 0.
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The reciprocal of any irrational number is irrational. Proof: Let x be an irrational number. Then 1/x = a/b where a and b are integers, a ≠ 0 (since 0 is a rational number) and b ≠ 0.
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