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Find the cube root of 19683 by prime factorization method. Show steps.

2 Answers

5 votes

Answer:

27 is the cube root

Explanation:

Find the cube root of 19683 by prime factorization method. Show steps.-example-1
User Joanny
by
4.2k points
5 votes

Answer:

  • 27

Explanation:

Given number:

  • 19683

Prime factors of 19683:

  • 19683 = 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 = 3^9

Cube root:

  • ∛19683 = ∛3^9 = 3^3 = 27
User Adam Miles
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4.5k points