Find the cube root of 39304 by the prime factorization method.

engomavaw10b

engomavaw10b

Answered question

2023-02-17

Find the cube root of 39304 by the prime factorization method.

Answer & Explanation

alihikaua8xxc

alihikaua8xxc

Beginner2023-02-18Added 9 answers

Evaluate the Cube Root:
The given number is 39304
The result of resolving the primary factors is
39304=2×2×2×17×17×17
Upon grouping the factors we get
39304=(2×2×2)×(17×17×17)
Taking one factor from each group
393043=2x17
=34
Hence, the required cube root is 34.

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