Here we will show you two different procedures you can use to calculate the cube root of 7 divided by the cube root of 19. In other words, we will show you how to calculate ∛7 ÷ ∛19 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
∛19 ≈ 2.6684
1.9129 ÷ 2.6684 ≈ 0.7169
∛7 ÷ ∛19 ≈ 0.7169
Procedure 2
This procedure may be the fastest. Since ∛7 ÷ ∛19 is the same as ∛(34/56), you can first divide the numbers, and then find the cube root of the quotient, like this:
7 ÷ 19 ≈ 0.368421
∛0.368421 ≈ 0.7169
∛7 ÷ ∛19 ≈ 0.7169
Dividing Cube Roots
Use the tool below to divide another set of cube roots.
Cube root of 7 divided by cube root of 20
Go here for another cube root division problem that you may find interesting.