∛4 ÷ ∛84


Dividing Cube Roots

Here we will show you two different procedures you can use to calculate the cube root of 4 divided by the cube root of 84. In other words, we will show you how to calculate ∛4 ÷ ∛84 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:

∛4 ≈ 1.5874
∛84 ≈ 4.3795
1.5874 ÷ 4.3795 ≈ 0.3625
∛4 ÷ ∛84 ≈ 0.3625

Procedure 2
This procedure may be the fastest. Since ∛4 ÷ ∛84 is the same as ∛(34/56), you can first divide the numbers, and then find the cube root of the quotient, like this:

4 ÷ 84 ≈ 0.047619
∛0.047619 ≈ 0.3625
∛4 ÷ ∛84 ≈ 0.3625


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

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Cube root of 4 divided by cube root of 85
Go here for another cube root division problem that you may find interesting.



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