∛3 ÷ ∛32


Dividing Cube Roots

Here we will show you two different procedures you can use to calculate the cube root of 3 divided by the cube root of 32. In other words, we will show you how to calculate ∛3 ÷ ∛32 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
∛32 ≈ 3.1748
1.4422 ÷ 3.1748 ≈ 0.4543
∛3 ÷ ∛32 ≈ 0.4543

Procedure 2
This procedure may be the fastest. Since ∛3 ÷ ∛32 is the same as ∛(34/56), you can first divide the numbers, and then find the cube root of the quotient, like this:

3 ÷ 32 = 0.09375
∛0.09375 ≈ 0.4543
∛3 ÷ ∛32 ≈ 0.4543


Dividing Cube Roots
Use the tool below to divide another set of cube roots.

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Cube root of 3 divided by cube root of 33
Go here for another cube root division problem that you may find interesting.



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