Question

find the square root of 256 by by prime factorisation method with stdps ​

Answer 1

Answer:

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Step-by-step explanation:

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Answer 2

Answer:

Answer:

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

256

=16

Step-by-step explanation:

\begin{gathered}Resolve \: 256 \: into \: product \: of \:prime, \\we \:get\end{gathered}

Resolve256intoproductofprime,

weget

2 | 256

_______

2 | 128

_______

2 | 64

_______

2 | 32

_______

2 | 16

_______

2 | 8

_______

2 | 4

_______

256 = (2\times 2) \times (2\times 2) \times (2\times 2) \times (2\times 2)256=(2×2)×(2×2)×(2×2)×(2×2)

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

256

=2×2×2×2=16

Therefore.,

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

256

=16