Which of the following is the decimal expansion an irrational number

(a) 4.561          (b)0. 12            (c) 5.010010001…         (d) 6.03

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Question 7 Which of the following is the decimal expansion an irrational number (a) 4.561 (b)0.¯12 (c) 5.010010001… (d) 6.03 An irrational number has non-repeating non-terminating decimal expansion Here, (a) and (d) are terminating decimal expansions and (b) is non-terminating but repeating decimal expansion Therefore, (c) = 5.010010001… is non-terminating, non-repeating decimal expension. So, (c) is the decimal expansion of irrational number

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Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 9 years. He provides courses for Maths and Science at Teachoo.