Question

find the square root of the following prime factorization and method a) 5625​

Answer 1

Answer:

Start by finding prime factors of

5625

:

2

: No:

5625

is odd.

3

: Yes:

X

X

5625

=

3

⋅

1875

=

3

⋅

3

⋅

625

5

: Yes:

X

X

3

⋅

3

⋅

625

=

3

⋅

3

⋅

5

⋅

125

=

3

⋅

3

⋅

5

⋅

5

⋅

25

X

X

=

3

⋅

3

⋅

5

⋅

5

⋅

5

⋅

5

=

(

3

⋅

5

⋅

5

)

2

=

75

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