∛3 ÷ ∛70


Dividing Cube Roots

Here we will show you two different procedures you can use to calculate the cube root of 3 divided by the cube root of 70. In other words, we will show you how to calculate ∛3 ÷ ∛70 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:

∛3 ≈ 1.4422
∛70 ≈ 4.1213
1.4422 ÷ 4.1213 ≈ 0.3499
∛3 ÷ ∛70 ≈ 0.3499

Procedure 2
This procedure may be the fastest. Since ∛3 ÷ ∛70 is the same as ∛(34/56), you can first divide the numbers, and then find the cube root of the quotient, like this:

3 ÷ 70 ≈ 0.042857
∛0.042857 ≈ 0.3499
∛3 ÷ ∛70 ≈ 0.3499


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

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Cube root of 3 divided by cube root of 71
Go here for another cube root division problem that you may find interesting.



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