Question

find square root of 4096 by prime factorisation

Answer 1

Hope it's helps......

Answer 2

Answer:

$\sqrt{4096}=64$

Step-by-step explanation:

Resolving 4096 into product of prime factors, we get

2| 4096

_________

2| 2048

_________

2| 1024

_________

2| 512

_________

2| 256

_________

2| 128

_________

2| 64

_________

2| 32

_________

2| 16

__________

2| 8

__________

2| 4

___________

*** 2

4096 = 2×2×2×2×2×2×2×2×2×2×2×2

$\sqrt{4096}\\=2\times 2\times 2\times 2\times 2\times 2\\=64$

Therefore,

$\sqrt{4096}=64$

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