Here we will show you two different procedures you can use to calculate the cube root of 7 divided by the cube root of 3. In other words, we will show you how to calculate ∛7 ÷ ∛3 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
∛3 ≈ 1.4422
1.9129 ÷ 1.4422 ≈ 1.3264
∛7 ÷ ∛3 ≈ 1.3264
Procedure 2
This procedure may be the fastest. Since ∛7 ÷ ∛3 is the same as ∛(34/56), you can first divide the numbers, and then find the cube root of the quotient, like this:
7 ÷ 3 ≈ 2.333333
∛2.333333 ≈ 1.3264
∛7 ÷ ∛3 ≈ 1.3264
Dividing Cube Roots
Use the tool below to divide another set of cube roots.
Cube root of 7 divided by cube root of 4
Go here for another cube root division problem that you may find interesting.