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Question

Prove that the following is irrational.
75

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Solution

Let us assume that 75 is rational number
Hence 75 can be written in the form of ab where a,b(b0) are co-prime
75=ab
5=a7b
But here 5 is irrational and a7b is rational
as RationalIrrational
This is a contradiction
so 75 is a irrational number

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