Question

Evaluate:

(i) ∛36 × ∛384

(ii) ∛96 × ∛144

Answer 1

(i) ∛36 × ∛384

As we know,∛a × ∛b = ∛(a×b)

Now,

∛36 × ∛384 = ∛(36×384)

= ∛(2×2×3×3) × (2×2×2×2×2×2×3×3×3)

= ∛(2³×2³×2³×3³)

= 2×2×2×3

= 24

(ii) ∛96 × ∛144

As we know, ∛a × ∛b = ∛ (a×b)

Now,

∛96 × ∛144 = ∛ (96×144)

= ∛ (2×2×2×2×2×3) × (2×2×2×2×3×3)

= ∛(2³×2³×2³×3³)

= 2×2×2×3

= 24