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Using prime factorisation, find which of the following are perfect squares. 484 - Mathematics

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Question

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

484

Chart
Sum

Solution

Prime factors of 484 = (2 × 2) × (11 × 11)

As grouping, there is no unpaired factor left over.

2 484
2 242
11 121
11 11
  1

So, 484 is a perfect square.

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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 91. (a) | Page 93

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