∛3 ÷ ∛47


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 47. In other words, we will show you how to calculate ∛3 ÷ ∛47 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
∛47 ≈ 3.6088
1.4422 ÷ 3.6088 ≈ 0.3996
∛3 ÷ ∛47 ≈ 0.3996

Procedure 2
This procedure may be the fastest. Since ∛3 ÷ ∛47 is the same as ∛(34/56), you can first divide the numbers, and then find the cube root of the quotient, like this:

3 ÷ 47 ≈ 0.063830
∛0.063830 ≈ 0.3996
∛3 ÷ ∛47 ≈ 0.3996


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 48
Go here for another cube root division problem that you may find interesting.



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