Evaluate∛-216 – InterviewSolution

1.

Evaluate∛-216

Answer»

The prime factors of 216 = 2 × 2 × 2 × 3 × 3 × 3

Now by grouping into three we get, (2 × 2 × 2) × (3 × 3 × 3)

∴ \(\sqrt[3]{ – ((2)^3 × (3)^3)}\)

= – (2 × 3)

= -6

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