Here we will show you two different procedures you can use to calculate the cube root of 7 divided by the cube root of 12. In other words, we will show you how to calculate ∛7 ÷ ∛12 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:
∛7 ≈ 1.9129
∛12 ≈ 2.2894
1.9129 ÷ 2.2894 ≈ 0.8355
∛7 ÷ ∛12 ≈ 0.8355
Procedure 2
This procedure may be the fastest. Since ∛7 ÷ ∛12 is the same as ∛(34/56), you can first divide the numbers, and then find the cube root of the quotient, like this:
7 ÷ 12 ≈ 0.583333
∛0.583333 ≈ 0.8355
∛7 ÷ ∛12 ≈ 0.8355
Dividing Cube Roots
Use the tool below to divide another set of cube roots.
Cube root of 7 divided by cube root of 13
Go here for another cube root division problem that you may find interesting.