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Question

Use prime factorization method to find the square root of the following:

i. (1024) = ______

ii. (2025) = _______


A

32, 45

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B

36, 35

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C
28, 25
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D
28, 45
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Solution

The correct option is A

32, 45


1024=2×2×2×2×2×2×2×2×2×2
=22×22×22×22×22 (1024)=(22×22×22×22×22) =2×2×2×2×2 =32

2025=3×3×3×3×5×5
=32×32×52 (2025)=(32×32×52) =3×3×5 =45

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