Question

 Evaluate each of the following:

(i) ∛27 + ∛0.008 + ∛0.064

(ii) ∛1000 + ∛0.008 – ∛0.125

(iii) ∛(729/216) × 6/9

Answer 1

(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