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State with reason, whether the following is a surd. root(5)(243) - Mathematics

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Question

State with reason, whether the following is a surd.

`root(5)(243)`

Give Reasons
Sum
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Solution

`root(5)(243)` is not a surd

Reason:

243 = 35, fifth root of 35 = 3, rational.

Not a surd.

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Chapter 1: Rational and Irrational Numbers - EXERCISE 1C [Page 15]

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B Nirmala Shastry Mathematics [English] Class 9 ICSE
Chapter 1 Rational and Irrational Numbers
EXERCISE 1C | Q 1. (viii) | Page 15
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