Here we will show you two different procedures you can use to calculate the cube root of 6 divided by the cube root of 75. In other words, we will show you how to calculate ∛6 ÷ ∛75 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:
∛6 ≈ 1.8171
∛75 ≈ 4.2172
1.8171 ÷ 4.2172 ≈ 0.4309
∛6 ÷ ∛75 ≈ 0.4309
Procedure 2
This procedure may be the fastest. Since ∛6 ÷ ∛75 is the same as ∛(34/56), you can first divide the numbers, and then find the cube root of the quotient, like this:
6 ÷ 75 = 0.08
∛0.08 ≈ 0.4309
∛6 ÷ ∛75 ≈ 0.4309
Dividing Cube Roots
Use the tool below to divide another set of cube roots.
Cube root of 6 divided by cube root of 76
Go here for another cube root division problem that you may find interesting.