Question

Simplify: ∛16 ,- 8∛54 + ∛128​

Answer 1

Step-by-step explanation:

Solution :

∛16 + 8∛54 - ∛128

Let us find the factors the numbers inside the radicals

∛16  =  ∛(2 ⋅ 2 ⋅ 2 ⋅ 2)  =  2∛2

8∛54  =  8 ∛(2 ⋅ 3 ⋅ 3 ⋅ 3)  =  (8 ⋅ 3) ∛2  =  24∛2

∛128  =  ∛(2 ⋅ 2 ⋅ 2 ⋅ 2 ⋅ 2 ⋅ 2 ⋅ 2)   =  (2 ⋅ 2)∛2  =  4∛2

∛16 + 8∛54 - ∛128  =  2∛2 + 24∛2 - 4∛2

  =  (2 + 24 - 4)∛2

  =  22∛2

Hence the answer is

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