Question

find thre square of the following number by the prime factorisation method 7744​

Answer 1

Answer:

11|7744

_________

11|704

_________

2| 64

_________

2| 32

_________

2| 16

_________

2| 8

_________

2| 4

_________

***2

\begin{lgathered}\sqrt{7744}=\sqrt{11^{2}\times 2^{6}}\\=11\times 2^{3}\\=11\times 8\\=88\end{lgathered}

7744

=

11

2

×2

6

=11×2

3

=11×8

=88

Therefore,

\sqrt{7744}=88

7744

=88

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Answer 2

Step-by-step explanation:

7744 can be written as 11 x 11 x4 x4 x 4

so the square root of 7744 is 88

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