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Proof: √5 is irrational
Step 1: Assume the opposite
Let us assume √5 is a rational number.
That means:
√5= a/b
a and b are integers,
b ≠ 0,
a and b have no common factor (they are coprime).
Conclusion:
Therefore, our assumption that √5 is rational is wrong.
Hence, √5 is irrational.
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