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Question

Find the cube root of the following number by prime factorization method:

64


A
2
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B
4
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C
8
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D
10
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Solution

The correct option is B 4

Prime factorising, we get,

64=2×2×2×2×2×2

=4×4×4––––––––––.


Here, the factor 4 occur as triplet. Hence, it is a perfect cube.


Therefore, cube root of 64, i.e. 3√64=4.


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