∛2 ÷ ∛81


Dividing Cube Roots

Here we will show you two different procedures you can use to calculate the cube root of 2 divided by the cube root of 81. In other words, we will show you how to calculate ∛2 ÷ ∛81 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:

∛2 ≈ 1.2599
∛81 ≈ 4.3267
1.2599 ÷ 4.3267 ≈ 0.2912
∛2 ÷ ∛81 ≈ 0.2912

Procedure 2
This procedure may be the fastest. Since ∛2 ÷ ∛81 is the same as ∛(34/56), you can first divide the numbers, and then find the cube root of the quotient, like this:

2 ÷ 81 ≈ 0.024691
∛0.024691 ≈ 0.2912
∛2 ÷ ∛81 ≈ 0.2912


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

÷ ∛
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Cube root of 2 divided by cube root of 82
Go here for another cube root division problem that you may find interesting.



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