∛9 ÷ ∛54


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 54. In other words, we will show you how to calculate ∛9 ÷ ∛54 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
∛54 ≈ 3.7798
2.0801 ÷ 3.7798 ≈ 0.5503
∛9 ÷ ∛54 ≈ 0.5503

Procedure 2
This procedure may be the fastest. Since ∛9 ÷ ∛54 is the same as ∛(34/56), you can first divide the numbers, and then find the cube root of the quotient, like this:

9 ÷ 54 ≈ 0.166667
∛0.166667 ≈ 0.5503
∛9 ÷ ∛54 ≈ 0.5503


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 55
Go here for another cube root division problem that you may find interesting.



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