find the square root of the following prime factorization and method a) 5625
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The factors of 5625 is,
5625=5×5×5×5×3×3
Take square root both sides,
5625
=
5×5×5×5×3×3
=
5
4
×3
2
=
((5)
2
×3)
2
=25×3
=75
Therefore, the square root of 5625 is 75.
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