Here we will show you two different procedures you can use to calculate the cube root of 6 divided by the cube root of 15. In other words, we will show you how to calculate ∛6 ÷ ∛15 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:
∛6 ≈ 1.8171
∛15 ≈ 2.4662
1.8171 ÷ 2.4662 ≈ 0.7368
∛6 ÷ ∛15 ≈ 0.7368
Procedure 2
This procedure may be the fastest. Since ∛6 ÷ ∛15 is the same as ∛(34/56), you can first divide the numbers, and then find the cube root of the quotient, like this:
6 ÷ 15 = 0.4
∛0.4 ≈ 0.7368
∛6 ÷ ∛15 ≈ 0.7368
Dividing Cube Roots
Use the tool below to divide another set of cube roots.
Cube root of 6 divided by cube root of 16
Go here for another cube root division problem that you may find interesting.