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Using prime factorisation, find the cube roots of 2197

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Question

Using prime factorisation, find the cube roots of 2197

Sum
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Solution

We have, 2197

13 2197
13 169
13 13
  1

Now, 2197 = 13 × 13 × 13

∴ `root(3)(2197)` = 13

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Chapter 3: Square-Square Root and Cube-Cube Root - Exercise [Page 94]

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NCERT Exemplar Mathematics Exemplar [English] Class 8
Chapter 3 Square-Square Root and Cube-Cube Root
Exercise | Q 97. (b) | Page 94

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