Find the Cube Root of 512 by prime factorisation method.
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Answer:
8
Step-by-step explanation:
The number 512 on prime factorization gives 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2. On combining the prime factors in groups of 3 gives 8. So, the cube root of 512 = ∛(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2) = 8 (perfect cube).
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