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in Cubes And Cube Roots by (58.8k points)

Evaluate

∛9261

1 Answer

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Best answer

The prime factors of 9261 = 3 × 3 × 3 × 7 × 7 × 7

Now by grouping into three we get, (3 × 3 × 3) × (7 × 7 × 7)

∴ \(\sqrt[3]{((3)^3 × (7)^3)}\) 

= (3 × 7) 

= 21

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