∛5 ÷ ∛53


Dividing Cube Roots

Here we will show you two different procedures you can use to calculate the cube root of 5 divided by the cube root of 53. In other words, we will show you how to calculate ∛5 ÷ ∛53 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:

∛5 ≈ 1.71
∛53 ≈ 3.7563
1.71 ÷ 3.7563 ≈ 0.4552
∛5 ÷ ∛53 ≈ 0.4552

Procedure 2
This procedure may be the fastest. Since ∛5 ÷ ∛53 is the same as ∛(34/56), you can first divide the numbers, and then find the cube root of the quotient, like this:

5 ÷ 53 ≈ 0.094340
∛0.094340 ≈ 0.4552
∛5 ÷ ∛53 ≈ 0.4552


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

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Cube root of 5 divided by cube root of 54
Go here for another cube root division problem that you may find interesting.



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