DAT ] Design an algorithm to find to find cube root of give 729.
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The number 729 on prime factorization gives 3 × 3 × 3 × 3 × 3 × 3. On combining the prime factors in groups of 3 gives 9. So, the cube root of 729 = ∛(3 × 3 × 3 × 3 × 3 × 3) = 9 (perfect cube).
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