Question

Find cube roots of 85184, 17576, 9261 and 110592 by prime factorization method.
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Answer 1

Answer:

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Answer 2

Answer:

1) ∛85184 = 44

2) ∛17576 = 26

3) ∛9261 = 21

4) ∛110592 = 48    

Step-by-step explanation:

1) 85184 = (2 × 2 × 2) × (2 × 2 × 2) × (11 × 11 × 11)

Take 1 number of group of three

          = 2 × 2 × 11

          = 44

∛85184 = 44

2) 17576 = (2 × 2 × 2) × (13 × 13 × 13)

Take 1 number of group of three

          = 2 × 13

          = 26

∛17576 = 26

3) 9261 = (3 × 3 × 3) × (7 × 7 × 7)

Take 1 number of group of three

            = 3 × 7

            = 21

∛9261 = 21

4) 110592 = (2 × 2 × 2) × (2 × 2 × 2) × (2 × 2 × 2) × (2 × 2 × 2) × (3 × 3 × 3)

                = 2 × 2 × 2 × 2 × 3

                = 48

∛110592 = 48

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