Math, asked by utsavk1905, 1 day ago

Find the Cube Root of 512 by prime factorisation method.


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Answers

Answered by AntrikshSikri
1

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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