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Find the square root of the following number by the prime factorisation method. 5929

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Question

Find the square root of the following number by the prime factorisation method.

5929

Sum
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Solution

5929 can be factorised as follows:

7 5929
7 847
11 121
11 11
  1

5929 = 7 × 7 × 11 × 11

∴ `sqrt(5929)` = 7 × 11 = 77

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