Question

4096 squre root full solve fast

Answer 1

Solution -

Note - The below solution will be done by prime factorisation method

Here, at first, we need to find the prime factorisation of the given number 4096

2 | 4096
2 | 2048
2 | 1024
2 | 512
2 | 256
2 | 128
2 | 64
2 | 32
2 | 16
2 | 8
2 | 4
2 | 2
1 | 1

Therefore,

Prime Factorization of 4096

= 2×2×2×2×2×2×2×2×2×2×2×2

= 2^12

Therefore,

Square root of 4096

= √(2×2×2×2×2×2×2×2×2×2×2×2)

= 2×2×2×2×2×2

= 2^6

= 64

Therefore, the square root of 4096 is 64

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