∛4 ÷ ∛21


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 21. In other words, we will show you how to calculate ∛4 ÷ ∛21 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
∛21 ≈ 2.7589
1.5874 ÷ 2.7589 ≈ 0.5754
∛4 ÷ ∛21 ≈ 0.5754

Procedure 2
This procedure may be the fastest. Since ∛4 ÷ ∛21 is the same as ∛(34/56), you can first divide the numbers, and then find the cube root of the quotient, like this:

4 ÷ 21 ≈ 0.190476
∛0.190476 ≈ 0.5754
∛4 ÷ ∛21 ≈ 0.5754


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 22
Go here for another cube root division problem that you may find interesting.



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