Math

Simplify Cube Root Calculator

Simplify ∛n into a·∛b form.

Calculated Output

Coefficient (a) 3

Remaining radicand (b) 2

Simplified form 3∛2

Formula: ∛n = a·∛b, pulling out perfect cubes

Step-by-Step Breakdown

1. Values used:

2. Number under the root = 54

4. Coefficient (a) = 3

5. Remaining radicand (b) = 2

6. Simplified form = 3∛2

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The math behind it

Factor the radicand and pull out perfect cubes (8, 27, 64…). ∛54 = ∛(27·2) = 3∛2.

∛54 = 3∛2.

When is it already simplified?

When the radicand has no perfect-cube factor other than 1.