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Question

Find the cube root of the following number by prime factorization method: 91125.

A
45
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B
35
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C
55
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D
465
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Solution

The correct option is A 45

On prime factorising, we get,

91125=(5×5×5)×(3×3×3)×(3×3×3)

=53×33×33.

Then, cube root of 91125 is:

391125=353×33×33=5×3×3=45.

Therefore, option A is correct.


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