∛5 ÷ ∛68


Dividing Cube Roots

Here we will show you two different procedures you can use to calculate the cube root of 5 divided by the cube root of 68. In other words, we will show you how to calculate ∛5 ÷ ∛68 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:

∛5 ≈ 1.71
∛68 ≈ 4.0817
1.71 ÷ 4.0817 ≈ 0.4189
∛5 ÷ ∛68 ≈ 0.4189

Procedure 2
This procedure may be the fastest. Since ∛5 ÷ ∛68 is the same as ∛(34/56), you can first divide the numbers, and then find the cube root of the quotient, like this:

5 ÷ 68 ≈ 0.073529
∛0.073529 ≈ 0.4189
∛5 ÷ ∛68 ≈ 0.4189


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

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Cube root of 5 divided by cube root of 69
Go here for another cube root division problem that you may find interesting.



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