Question

find the square root of 256 by prime factorization method

Answer 1

Therefore, the answer is 16.

Answer 2

Answer:

$\red { \sqrt{256}} \green { = 16 }$

Step-by-step explanation:

$Resolve \: 256 \: into \: product \: of \:prime, \\we \:get$

2 | 256

_______

2 | 128

_______

2 | 64

_______

2 | 32

_______

2 | 16

_______

2 | 8

_______

2 | 4

_______

***** 2

$256 = (2\times 2) \times (2\times 2) \times (2\times 2) \times (2\times 2)$

$\sqrt{256} = 2\times 2 \times 2\times 2 = 16$

Therefore.,

$\red { \sqrt{256}} \green { = 16 }$

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