∛2 ÷ ∛49


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 49. In other words, we will show you how to calculate ∛2 ÷ ∛49 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
∛49 ≈ 3.6593
1.2599 ÷ 3.6593 ≈ 0.3443
∛2 ÷ ∛49 ≈ 0.3443

Procedure 2
This procedure may be the fastest. Since ∛2 ÷ ∛49 is the same as ∛(34/56), you can first divide the numbers, and then find the cube root of the quotient, like this:

2 ÷ 49 ≈ 0.040816
∛0.040816 ≈ 0.3443
∛2 ÷ ∛49 ≈ 0.3443


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 50
Go here for another cube root division problem that you may find interesting.



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