Here we will show you two different procedures you can use to calculate the cube root of 3 divided by the cube root of 11. In other words, we will show you how to calculate ∛3 ÷ ∛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:
∛3 ≈ 1.4422
∛11 ≈ 2.224
1.4422 ÷ 2.224 ≈ 0.6485
∛3 ÷ ∛11 ≈ 0.6485
Procedure 2
This procedure may be the fastest. Since ∛3 ÷ ∛11 is the same as ∛(34/56), you can first divide the numbers, and then find the cube root of the quotient, like this:
3 ÷ 11 ≈ 0.272727
∛0.272727 ≈ 0.6485
∛3 ÷ ∛11 ≈ 0.6485
Dividing Cube Roots
Use the tool below to divide another set of cube roots.
Cube root of 3 divided by cube root of 12
Go here for another cube root division problem that you may find interesting.