Evaluate∛729 – InterviewSolution

1.

Evaluate∛729

Answer»

The prime factors of 729 = 3 × 3 × 3 × 3 × 3 × 3

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

∴\(\sqrt[3]{((3)^3 × (3)^3) }\)

= (3 × 3)

= 9

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