Question 1:
Classify the following numbers as rational or irrational:
Answer:
(i) √2 – 5 = 2 − 2.2360679…
= − 0.2360679…
As the decimal expansion of this expression is non-terminating non-recurring, therefore, it is an irrational number.
As it can be represented in p/q form, therefore, it is a rational number.
As it can be represented in p/q form, therefore, it is a rational number.
As the decimal expansion of this expression is non-terminating non-recurring,
therefore, it is an irrational number.
(v) 2π = 2(3.1415 …)
= 6.2830 …
As the decimal expansion of this expression is non-terminating non-recurring,
therefore, it is an irrational number.
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