1.

Evaluate∛8000

Answer»

The prime factors of 8000 = 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5

Now by grouping into three we get, (2 × 2 × 2) × (2 × 2 × 2) × (5 × 5 × 5)

∴ \(\sqrt[3]{((2)^3 × (2)^3 × (5)^3)}\)

= (2 × 2 × 5) 

= 20



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