Here we will show you two different procedures you can use to calculate the cube root of 5 divided by the cube root of 14. In other words, we will show you how to calculate ∛5 ÷ ∛14 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
∛14 ≈ 2.4101
1.71 ÷ 2.4101 ≈ 0.7095
∛5 ÷ ∛14 ≈ 0.7095
Procedure 2
This procedure may be the fastest. Since ∛5 ÷ ∛14 is the same as ∛(34/56), you can first divide the numbers, and then find the cube root of the quotient, like this:
5 ÷ 14 ≈ 0.357143
∛0.357143 ≈ 0.7095
∛5 ÷ ∛14 ≈ 0.7095
Dividing Cube Roots
Use the tool below to divide another set of cube roots.
Cube root of 5 divided by cube root of 15
Go here for another cube root division problem that you may find interesting.