Prove that 52 is irrational.


assume that 52 is rational
52 = a/b , where a and b are integers .
2 = a/5b
we know that a, b and 5 are integers and they are also rational {i.e RHS is rational}
therefore2 will be rational.
but we know that2 is irrational.
there is a contradiction
so, 52 is an irrational number

it is proved that 5√2 is irrational.


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