Question

7) Find the square
root of 4096 by Prime
Factorisation​

Answer 1

Answer:

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

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Answer 2

$\huge\bold\red{Question}$

Find the square root of 4096 by prime factorisation.

$\huge\bold\green{Solution}$

By prime factorization method, we get

$\bold{4096 = 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2}$

Taking the square root on both the side, we get

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

$\bold{\sqrt{4096} =64}$