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Find the square root of 13824 …

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Find the square root of 13824 by prime factorisation method?
  • 1 answers

Yogita Ingle 5 years, 3 months ago

After resolving the prime factors, we get

13824 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

Grouping

= 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

Taking one factor from each group

∛13824 = 2 x 2 x 2 x 3

∛13824 = 24

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