Here we will show you two different procedures you can use to calculate the cube root of 7 divided by the cube root of 74. In other words, we will show you how to calculate ∛7 ÷ ∛74 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
∛74 ≈ 4.1983
1.9129 ÷ 4.1983 ≈ 0.4556
∛7 ÷ ∛74 ≈ 0.4556
Procedure 2
This procedure may be the fastest. Since ∛7 ÷ ∛74 is the same as ∛(34/56), you can first divide the numbers, and then find the cube root of the quotient, like this:
7 ÷ 74 ≈ 0.094595
∛0.094595 ≈ 0.4556
∛7 ÷ ∛74 ≈ 0.4556
Dividing Cube Roots
Use the tool below to divide another set of cube roots.
Cube root of 7 divided by cube root of 75
Go here for another cube root division problem that you may find interesting.