Which of the following is irrational-
(i) 0.15 (ii) 0.1516 (iii) 0 .79 (iv)None of these
Answers
Answer:
None of these
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Given:
To Find:
Which is irrational number ?
Solution:
Rational number:-
If decimal expansion of number terminate or non terminate but repeat some pattern. It will be rational number. Let us see option;
Option (a) = 0.15
Its decimal expansion is terminate, so it is rational number.
Option (b) = 0.01516
Its decimal expansion is terminate, so it is rational number.
Option (c) = 0.15161516...
Its decimal expansion is non-terminate but it is repeating. Repeating pattern are 1516. So it is rational number.
Irrational number:-
If decimal expansion of number is non terminate also non repeating of some pattern. It will be irrational number. Let us see option;
Option (d) = 0.15161516...
Its decimal expansion is neither non-terminate nor repeating. So it is irrational number.
So option d is irrational number.