Here we will show you two different procedures you can use to calculate the cube root of 4 divided by the cube root of 40. In other words, we will show you how to calculate ∛4 ÷ ∛40 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:
∛4 ≈ 1.5874
∛40 ≈ 3.42
1.5874 ÷ 3.42 ≈ 0.4642
∛4 ÷ ∛40 ≈ 0.4642
Procedure 2
This procedure may be the fastest. Since ∛4 ÷ ∛40 is the same as ∛(34/56), you can first divide the numbers, and then find the cube root of the quotient, like this:
4 ÷ 40 = 0.1
∛0.1 ≈ 0.4642
∛4 ÷ ∛40 ≈ 0.4642
Dividing Cube Roots
Use the tool below to divide another set of cube roots.
Cube root of 4 divided by cube root of 41
Go here for another cube root division problem that you may find interesting.