Let be a rational number, then x is terminating if and only if, the denominator q has the form 2n 5m The denominator is not of the form 2n 5m as it has 72 as its factor. Therefore, Given rational number has a non-terminating decimal representation.

Q. 12

Has the rational

Class 10th RD Sharma - Mathematics 1. Real Numbers

Answer :

Let be a rational number, then x is terminating if and only if, the denominator q has the form 2ⁿ 5^m

The denominator is not of the form 2ⁿ 5^m as it has 7² as its factor.

Therefore, Given rational number has a non-terminating decimal representation.

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