4096 squre root full solve fast
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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
#Be Brainly
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
#Be Brainly
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