Question

Prove that the square root of 23 is irrational. By doing a proof by contradiction.

Answer 1

Step-by-step explanation:

First we assume √23 to be rational and express it in m/n form. Later on in the proof, we create a contradiction that 23 divides both m and n. But as we had said that their HCF is 1 , our assumption that √23 is rational must be false. So, √23 is irrational

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Answer 2

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