∛7 ÷ ∛47


Dividing Cube Roots

Here we will show you two different procedures you can use to calculate the cube root of 7 divided by the cube root of 47. In other words, we will show you how to calculate ∛7 ÷ ∛47 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:

∛7 ≈ 1.9129
∛47 ≈ 3.6088
1.9129 ÷ 3.6088 ≈ 0.5301
∛7 ÷ ∛47 ≈ 0.5301

Procedure 2
This procedure may be the fastest. Since ∛7 ÷ ∛47 is the same as ∛(34/56), you can first divide the numbers, and then find the cube root of the quotient, like this:

7 ÷ 47 ≈ 0.148936
∛0.148936 ≈ 0.5301
∛7 ÷ ∛47 ≈ 0.5301


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

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Cube root of 7 divided by cube root of 48
Go here for another cube root division problem that you may find interesting.



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