Question

(m) Which of the following is an irrational number?
(A) 0.17 (B) 1.513 (C) 0.2746 (D) 0.101001000...​

Answer 1

Answer:

D is the irrational number

Answer 2

(D) 0.101001000... is an irrational number.

• Real numbers that are not exact fractions are known as irrational numbers.
• This means that ratios or complete fractions cannot accurately represent irrational values.
• Irrational numbers are non-terminating and have non-repeating decimal expansion.
• Irrational numbers cannot be readily compared to rational numbers using general arithmetic techniques.
• Options (A), (B) and (C) can be written in the form of complete fractions.
• For example, 0.17 can be written as 17/100, 1.513 can be written as 1513/1000 and 0.2746 can be expressed as 2746/10000.
• Hence they are rational number.
• On the other hand, 0.101001000.. is a non-terminating as well as non-recurring irrational number which cannot be expressed as complete fraction.

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