# Classify the following numbers as rational or irrational: (i) 1/√2 (ii) 2π

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Classify the following numbers as rational or irrational:

(i) 1/√2

(ii) 2π

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(i)  1/√2

we know that √2 = 1.414..., which is an irrational number .

We can conclude that, when 1 is divided by √2 we will get an irrational number. Therefore, we conclude that 1/√2 is an irrational number.

(ii)

We know that π = 3.1415...., which is an irrational number.

We can conclude that 2π will also be an irrational number.

Therefore, we conclude that 2π is an irrational number.