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Of the given numbers

(i) √23

(ii) √256

(iii) 0.3796

(iv) 7.478478…

(v) 1.101001000100001…

  • a)
    (i) and (v) are irrational

  • b)
    (iv) and (v) is irrational

  • c)
    only (v) is irrational

  • d)
    none are irrational

Correct answer is option 'A'. Can you explain this answer?
Verified Answer
Of the given numbers(i) √23(ii) √256(iii) 0.3796(iv) 7.478...
i) √23
√23 = √23/1 = p/q, but p is not an integer.
Hence √23 is an irrational number.
ii) √225
√225 = 15/1 = p/q, where p and q are integers and q ≠ 0.
Hence √225 is a rational number.
iii) 0.3796
0.3796 is a rational number because it is a terminating decimal number.
iv) 7.478478...
7.478478... is a rational number as it is a non-terminating recurring decimal i.e, the block of numbers 478 is repeating.
v) 1.101001000100001 . . . .
It is an irrational number because it is a non-terminating and non-recurring decimal.
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Of the given numbers(i) √23(ii) √256(iii) 0.3796(iv) 7.478...
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Of the given numbers(i) √23(ii) √256(iii) 0.3796(iv) 7.478...
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Of the given numbers(i) √23(ii) √256(iii) 0.3796(iv) 7.478478…(v) 1.101001000100001…a)(i) and (v) are irrationalb)(iv) and (v) is irrationalc)only (v) is irrationald)none are irrationalCorrect answer is option 'A'. Can you explain this answer? for Class 9 2025 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about Of the given numbers(i) √23(ii) √256(iii) 0.3796(iv) 7.478478…(v) 1.101001000100001…a)(i) and (v) are irrationalb)(iv) and (v) is irrationalc)only (v) is irrationald)none are irrationalCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 9 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Of the given numbers(i) √23(ii) √256(iii) 0.3796(iv) 7.478478…(v) 1.101001000100001…a)(i) and (v) are irrationalb)(iv) and (v) is irrationalc)only (v) is irrationald)none are irrationalCorrect answer is option 'A'. Can you explain this answer?.
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