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Prove that `sqrt(5)` is irrational. |
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Answer» `sqrt5=a/b` (wnere a and b are Co-prime Numbers) `a=sqrt5b` squaring both side `a^2=5b^2` `a^2` is divisible by 5 a is also divisible by 5 similarly, b is divisible by 5 which means 5 is common factor of a and b so, a/b is irrerational which makes `sqrt5` irrerational |
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