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⇨To find the square root of 4062 by prime factorization we have to find the prime factors of 4062.
⇨ So here is the prime factors of 4062
⇨ 4062 = 2 x 3 x 677
⇨ From the above prime factors we can see that there is no pair of any prime factor, Which concludes 4062 is not a square number and do not have any square root.
⇨ Conclusion : 4062 doesn't have square root and we are unable to find the square root of 4062 by prime factorization method.
⇨ But we can calculate the square root of 4062 by division method.
__ __
6 | 4 0 6 2 ( 6 3 . 7 3
+ 6 | - 3 6
-------------------
1 2 3 | 4 6 2
+ 3 | -3 6 9
------------------------
1 2 6 7 | 9 3 0 0
+ 7 | - 8 8 6 9
---------------------------
1 2 7 4 3 | 4 3 1 0 0
+ 3 | -3 8 2 2 9
-------------------------------
1 2 7 4 6 3 | 4 8 7 1 0 0
⇨ And so on .......
⇨ So the square root of 4062 is 63.733821....