prove that 7√2 is an irrational number
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Let as assume the opposite 7√2 is rational number.
i.e.
7√2 is a Rational number.
Where a, b ≠ 0 ,
and a, b are Co-prime.
Here,
is an irrational number , or is a rational number .
Here,
Since, Rational ≠ Irrational
This Contradiction
∴ Our Assumption is incorrect.
Hence 7√2 is an irrational number.
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