find cube root root of 16 x 108 by prime factorization method
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Answer:
16 x 108 = 1728
The number 1728 on prime factorization gives
2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3.
On combining the prime factors in groups of 3 gives 12.
So, the cube root of 1728 = ∛(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3) = 12 (perfect cube).
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