Here we will show you two different procedures you can use to calculate the cube root of 5 divided by the cube root of 16. In other words, we will show you how to calculate ∛5 ÷ ∛16 two different ways.
Procedure 1
This may be the most obvious procedure, where you first calculate the cube root of each number, and then divide the result, like this:
∛5 ≈ 1.71
∛16 ≈ 2.5198
1.71 ÷ 2.5198 ≈ 0.6786
∛5 ÷ ∛16 ≈ 0.6786
Procedure 2
This procedure may be the fastest. Since ∛5 ÷ ∛16 is the same as ∛(34/56), you can first divide the numbers, and then find the cube root of the quotient, like this:
5 ÷ 16 = 0.3125
∛0.3125 ≈ 0.6786
∛5 ÷ ∛16 ≈ 0.6786
Dividing Cube Roots
Use the tool below to divide another set of cube roots.
Cube root of 5 divided by cube root of 17
Go here for another cube root division problem that you may find interesting.