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State, with Reason, of the Following is Surd Or Not : Root(3)(64) - Mathematics

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Question

State, with reason, of the following is surd or not : 
`root(3)(64)`

Sum

Solution

`root(3)(64) = root(3)( 2 xx 2 xx 2 xx 2 xx 2 xx 2) = 4` which is rational.

∴ `root(3)(64)` is not a surds.

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

APPEARS IN

Selina Concise Mathematics [English] Class 9 ICSE
Chapter 1 Rational and Irrational Numbers
Exercise 1 (C) | Q 1.4 | Page 21
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