Here we will show you two different procedures you can use to calculate the cube root of 5 divided by the cube root of 75. In other words, we will show you how to calculate ∛5 ÷ ∛75 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:
∛5 ≈ 1.71
∛75 ≈ 4.2172
1.71 ÷ 4.2172 ≈ 0.4055
∛5 ÷ ∛75 ≈ 0.4055
Procedure 2
This procedure may be the fastest. Since ∛5 ÷ ∛75 is the same as ∛(34/56), you can first divide the numbers, and then find the cube root of the quotient, like this:
5 ÷ 75 ≈ 0.066667
∛0.066667 ≈ 0.4055
∛5 ÷ ∛75 ≈ 0.4055
Dividing Cube Roots
Use the tool below to divide another set of cube roots.
Cube root of 5 divided by cube root of 76
Go here for another cube root division problem that you may find interesting.