Here we will show you two different procedures you can use to calculate the cube root of 65 divided by the cube root of 64. In other words, we will show you how to calculate ∛65 ÷ ∛64 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:
∛65 ≈ 4.0207
∛64 = 4
4.0207 ÷ 4 ≈ 1.0052
∛65 ÷ ∛64 ≈ 1.0052
Procedure 2
This procedure may be the fastest. Since ∛65 ÷ ∛64 is the same as ∛(34/56), you can first divide the numbers, and then find the cube root of the quotient, like this:
65 ÷ 64 = 1.015625
∛1.015625 ≈ 1.0052
∛65 ÷ ∛64 ≈ 1.0052
Dividing Cube Roots
Use the tool below to divide another set of cube roots.
Cube root of 65 divided by cube root of 65
Go here for another cube root division problem that you may find interesting.