Question

find the square root of 2,500 by prime factorization method ​

Answer 1

this is the answer of your questio

Answer 2

Resolving 2500 into Prime Factors , we get

2 | 2500

_________

2 | 1250

_________

5 | 625

_________

5 | 125

_________

5 | 25

_________

**** 5

$\sqrt{2500}\\ = \sqrt{ 2\times 2 \times 5 \times 5\times 5 \times 5 } \\= 2\times 5 \times 5 \\= 50$

Therefore.,

$\red { \sqrt{2500}} \green {= 50}$

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