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Rajan@2021
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Asked: 2021-05-26T11:13:07+05:30 In:

Without actual division show that the following rational number is a nonterminating decimal 73/(2²×3³×5)

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One of the most important and exam oriented question from real numbers chapter in which we have given a number 73/(2²×3³×5) And we have to prove that the given rational number is a nonterminating decimal without actual division.

Kindly solve the above problem in detail

RS Aggarwal,  Class 10, chapter 1C, question no 2(ii)

cbse class 10real numbersrs aggarwal
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    1. Guru

      73/(2²×3³×5)

      2 or 3 and 5 is not factor of 73 so fraction is in its simplest form.
      and, (2²×3³×5)≠(2^m×5^n) in denominator

      hence given fraction is non -terminating repeating decimal.

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