Question

How to know √23 is irrational number​

Answer 1

i) 23 is not a perfect square values so that, it is an irrational number. The decimal expansion of above number is terminating, so that it is a rational number. The decimal expansion of above number is non-terminating recurring, so that, it is a rational number.

Answer 2

Answer:

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Step-by-step explanation:

i) √23=√231=pq, 23 = 23 1 = p q , but p is not an integer. Hence √23 is an irrational number.

ii) √225=151=pq, 225 = 15 1 = p q , where p and q are integers.

I give u 2 ways to prove √23 irrational number