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Question

What's the square root of 625?


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Solution

The square root of the given number.

Divide 625 by 5,

625÷5=125

Divide 125 by 5,
125÷5=25

Divide 25 by 5,

25÷5=5

Divide 5 by 5,

5÷5=1

By using the prime factorization method, 625 can be written as,

625=5×5×5×5

Take square root on both sides.

625=(5×5)×(5×5)625=5×5Fromeachpair,takeone625=25

Hence, the square root of 625 is 25.


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