Question

Q3. Determine the value of the expression below.

5^3√48+2^3√162


Write your answer as an exact quantity using only a single radical.

Answer 1

5∛48 + 2∛162
= 5(∛(8·6)) + 2(∛(27·6))
= 5(2∛6) + 2(3∛6)
= (10+6)∛6
= 16∛6
= ∛(16^3·6)
= ∛24576.