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Simplify: (13+23+33)12 - Mathematics

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Question

Simplify:

`(1^3 + 2^3 + 3^3)^(1/2)`

Simplify

Solution

`(1^3 + 2^3 + 3^3)^(1/2) = (1 + 8 + 27)^(1/2)`   ...[∵ (am)n = amn]

= `(36)^(1/2)` 

= `(6^2)^(1/2)`

= `6^(2 xx 1/2)`

= 6  

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Chapter 1: Number Systems - Exercise 1.3 [Page 11]

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NCERT Exemplar Mathematics [English] Class 9
Chapter 1 Number Systems
Exercise 1.3 | Q 14. (i) | Page 11

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