Here we will show you two different procedures you can use to calculate the cube root of 7 divided by the cube root of 71. In other words, we will show you how to calculate ∛7 ÷ ∛71 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
∛71 ≈ 4.1408
1.9129 ÷ 4.1408 ≈ 0.4620
∛7 ÷ ∛71 ≈ 0.4620
Procedure 2
This procedure may be the fastest. Since ∛7 ÷ ∛71 is the same as ∛(34/56), you can first divide the numbers, and then find the cube root of the quotient, like this:
7 ÷ 71 ≈ 0.098592
∛0.098592 ≈ 0.4620
∛7 ÷ ∛71 ≈ 0.4620
Dividing Cube Roots
Use the tool below to divide another set of cube roots.
Cube root of 7 divided by cube root of 72
Go here for another cube root division problem that you may find interesting.