Here we will show you two different procedures you can use to calculate the cube root of 3 divided by the cube root of 7. In other words, we will show you how to calculate ∛3 ÷ ∛7 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:
∛3 ≈ 1.4422
∛7 ≈ 1.9129
1.4422 ÷ 1.9129 ≈ 0.7539
∛3 ÷ ∛7 ≈ 0.7539
Procedure 2
This procedure may be the fastest. Since ∛3 ÷ ∛7 is the same as ∛(34/56), you can first divide the numbers, and then find the cube root of the quotient, like this:
3 ÷ 7 ≈ 0.428571
∛0.428571 ≈ 0.7539
∛3 ÷ ∛7 ≈ 0.7539
Dividing Cube Roots
Use the tool below to divide another set of cube roots.
Cube root of 3 divided by cube root of 8
Go here for another cube root division problem that you may find interesting.