Prove that 3 2√2 is irrational number
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let us assume contrary tha 32√2 is rational no.
32√2 = p/q
p and q have some common factor. We will divide them by there common factor, on dividing
32√2 = a/b
√2 = a/32b
As RHS = LHS
But this contradita the fact irrational and rational can't be equal
this contradiction has arisen due to our wrong assumption that 32√2 is rational
Therefore 32√2 is irrational
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