Here we will show you two different procedures you can use to calculate the cube root of 6 divided by the cube root of 11. In other words, we will show you how to calculate ∛6 ÷ ∛11 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
∛11 ≈ 2.224
1.8171 ÷ 2.224 ≈ 0.8170
∛6 ÷ ∛11 ≈ 0.8170
Procedure 2
This procedure may be the fastest. Since ∛6 ÷ ∛11 is the same as ∛(34/56), you can first divide the numbers, and then find the cube root of the quotient, like this:
6 ÷ 11 ≈ 0.545455
∛0.545455 ≈ 0.8170
∛6 ÷ ∛11 ≈ 0.8170
Dividing Cube Roots
Use the tool below to divide another set of cube roots.
Cube root of 6 divided by cube root of 12
Go here for another cube root division problem that you may find interesting.