Math, asked by harsh861164, 11 months ago

what is the square root of 4356 by prime factorization method in each step​

Answers

Answered by Sourishi
35

Answer:

4356 \div 2 = 2178 \\2178 \div 2 = 1089 \\ 1089 \div 3 = 363 \\ 363 \div 3 = 121 \\ 121 \div 11 = 11 \\  \sqrt{4356}  =   \sqrt{2 \times 2 \times  3 \times 3 \times 11 \times 11  \\  = 2 \times 3 \times 11 = 66

  1. divide 4356 by 2.
  2. divide the result(2178) again by 2.
  3. then divide the result(1089) by 3.
  4. again divide the result(363) by 3.
  5. now divide the result(121) by 11.
  6. at last 11 will be left over.
  7. now
  8.  \sqrt{4356}  =  \sqrt{2 \times 2 \times 3 \times 3 \times 11 \times 11}  \\  \sqrt{4356}  = 2 \times 3 \times 11 = 66
  9. 66 is the ans.
Answered by mandloidongersingh
2

Step-by-step explanation:

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