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State, with reason, of the following is surd or not: 274 - Mathematics

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Question

State, with reason, of the following is surd or not:

`root(4)(27)`

Sum
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Solution

`root(4)(27) = root(4)(3 xx 3 xx 3)`  which is irrational.

∴ `root(4)(27)` is a surds.

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Surds
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Chapter 1: Rational and Irrational Numbers - Exercise 1 (C) [Page 21]

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Selina Concise Mathematics [English] Class 9 ICSE
Chapter 1 Rational and Irrational Numbers
Exercise 1 (C) | Q 1.2 | Page 21
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