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State with reason, whether the following is a surd. (root(3)(7))^6 - Mathematics

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Question

State with reason, whether the following is a surd.

`(root(3)(7))^6`

Give Reasons
Sum
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Solution

`(root(3)(7))^6` is not a surd 

Reason:

`(root(3)(7))^6`

= `7^(6//3)`

= 72

= 49

Result is 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. (xiii) | Page 15
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