1.

 Evaluate each of the following:(i) ∛27 + ∛0.008 + ∛0.064(ii) ∛1000 + ∛0.008 – ∛0.125(iii) ∛(729/216) × 6/9

Answer»

(i) ∛27 + ∛0.008 + ∛0.064

= ∛(3×3×3) + ∛(0.2×0.2×0.2) + ∛(0.4×0.4×0.4)

= ∛(3)3 + ∛(0.2)3 + ∛(0.4)3

= 3 + 0.2 + 0.4

= 3.6

(ii) ∛1000 + ∛0.008 – ∛0.125

= ∛(10×10×10) + ∛(0.2×0.2×0.2) – ∛(0.5×0.5×0.5)

= ∛(10)3 + ∛(0.2)3 – ∛(0.5)3

= 10 + 0.2 – 0.5

= 9.7

(iii) ∛(729/216) × 6/9

= ∛(9×9×9/6×6×6) × 6/9

= (∛(9)3 /∛(6)3)× 6/9

= 9/6 × 6/9

= 1



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