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State with reason, whether the following is a surd. root(3)(7/5) - Mathematics

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Question

State with reason, whether the following is a surd.

`root(3)(7/5)`

Give Reasons
Sum
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Solution

`root(3)(7/5)` is a surd

Reason:

Radicand `7/5` is rational,

Cube root is irrational.

It’s 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. (xiv) | Page 15
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