Question

Prove that 1/√11 is an irrational number

Answer 1

Step-by-step explanation:

Assume to reach our contradiction that 1/√11 is rational. So that 1/√11 can be written as p/q, where p, q are coprime integers and q ≠ 0. Here it creates a contradiction that, the LHS p/q is rational while the RHS √11 is irrational. Here it seems that √11 can be written in fractional form.

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