∛9 ÷ ∛89


Dividing Cube Roots

Here we will show you two different procedures you can use to calculate the cube root of 9 divided by the cube root of 89. In other words, we will show you how to calculate ∛9 ÷ ∛89 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:

∛9 ≈ 2.0801
∛89 ≈ 4.4647
2.0801 ÷ 4.4647 ≈ 0.4659
∛9 ÷ ∛89 ≈ 0.4659

Procedure 2
This procedure may be the fastest. Since ∛9 ÷ ∛89 is the same as ∛(34/56), you can first divide the numbers, and then find the cube root of the quotient, like this:

9 ÷ 89 ≈ 0.101124
∛0.101124 ≈ 0.4659
∛9 ÷ ∛89 ≈ 0.4659


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

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Cube root of 9 divided by cube root of 90
Go here for another cube root division problem that you may find interesting.



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