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8+273=83+273. - Mathematics

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Question

`root(3)(8 + 27) = root(3)(8) + root(3)(27)`.

Options

  • True

  • False

MCQ
True or False

Solution

This statement is False.

Explanation:

Given: `root(3)(8 + 27)` and `root(3)(8) + root(3)(27)`

`root(3)(8 + 27) = root(3)(35)`  ...(1)

`root(3)(8) + root(3)(27)` = 2 + 3 = 5  ...(2)

From (1) and (2)

`root(3)(8 + 27) ≠ root(3)(8) + root(3)(27)`

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Chapter 3: Square-Square Root and Cube-Cube Root - Exercise [Page 93]

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NCERT Exemplar Mathematics [English] Class 8
Chapter 3 Square-Square Root and Cube-Cube Root
Exercise | Q 84. | Page 93

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