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Question

Prove that 2+3 is irrational.

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Solution

Let 2+3 be a rational number equals to r
2+3=r
3=r2
Here L.H.S is an irrational number while R.H.S. r-2 is rational L.H.SR.H.S
Hence it contradicts our assumption that 2+3 is rational.
2+3 is irrational.


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