Question 9. Classify the Following Numbers As Rational orIrrati Exercise 1.3 Chapter 1 Number System Maths Class 9

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Question 9. Classify the following numbers as rational or irrational:

Solution:
(i) 23 is not a perfect square values so that, it is an irrational number.

(ii)√(225) = √(3*3*5*5)
Pairs comes outside the root and we get
√(3*3*5*5) = 15
That means 225 is a perfect square value so it a rational number
(iii) 0.3796
The decimal expansion of above number is terminating, so that it is a rational number.
(iv) 7.478478 …
The decimal expansion of above number is non-terminating recurring, so that, it is a rational number.
(v) 1.10100100010000 …
The decimal expansion of above number is non-terminating non-repeating, so that , it is an irrational number.