Question

find the square root of each of the following by prime factorization . 11664
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Answer 1

Answer:

By using prime factorization method we are going to find square root of 11664

11664=2×5832

=2×2×2916

=2×2×2×1458

=2×2×2×2×729

=2×2×2×2×3×243

=2×2×2×2×3×3×81

=2×2×2×2×3×3×3×27

=2×2×2×2×3×3×3×3×9

=2×2×2×2×3×3×3×3×3×3

11664=2

4

×3

6

⇒

11664

=

2

4

×3

6

⇒

11664

=2

2

×3

3

⇒

11664

=108

Answer 2

Step-by-step explanation:

square root of each of the following by prime factorization .

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