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Using prime factorisation, find which of the following are perfect cubes. 729 - Mathematics

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Question

Using prime factorisation, find which of the following are perfect cubes.

729

Sum

Solution

We have, 729 = 3 × 3 × 3 × 3 × 3 × 3

Since, the prime factors appear in triplets.

So, 729 is a perfect cube.

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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 92. (c) | Page 93

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