Here we will show you two different procedures you can use to calculate the cube root of 3 divided by the cube root of 34. In other words, we will show you how to calculate ∛3 ÷ ∛34 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
∛34 ≈ 3.2396
1.4422 ÷ 3.2396 ≈ 0.4452
∛3 ÷ ∛34 ≈ 0.4452
Procedure 2
This procedure may be the fastest. Since ∛3 ÷ ∛34 is the same as ∛(34/56), you can first divide the numbers, and then find the cube root of the quotient, like this:
3 ÷ 34 ≈ 0.088235
∛0.088235 ≈ 0.4452
∛3 ÷ ∛34 ≈ 0.4452
Dividing Cube Roots
Use the tool below to divide another set of cube roots.
Cube root of 3 divided by cube root of 35
Go here for another cube root division problem that you may find interesting.