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Question

Find the cube root of the following by prime factorization method
5832 and 21952?

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Solution

In Cube root by prime factorization we make group of 3 same prime factor.

The35832 is

5832 = 3×3×3×3×3×3×2×2×2

=3×3×2
=18

The 321952 is,

21952= 2×2×2×2×2×2×7×7×7

=2×2×7

=28





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