Question

What is the square root of 12500 in prime factorization method ​

Answer 1

Answer:

$\sqrt{12500}=50\sqrt{5}$

Step-by-step explanation:

2| 12500

__________

2| 6250

__________

5| 3125

__________

5| 625

__________

5| 125

__________

5| 25

__________

***5

$\sqrt{12500}\\=\sqrt{2^{2}\times 5^{4}\times 5}\\=2\times 5^{2}\sqrt{5}\\=50\sqrt{5}$

Therefore,

$\sqrt{12500}=50\sqrt{5}$

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