Simplifying Radicals Calculator
Simplify square roots and cube roots into exact radical form. Get the outside coefficient, remaining radicand, decimal approximation, and a clear step-by-step solution.
Enter a radical expression
Result
Enter a radicand and click simplify.
What is a radical?
A radical is an expression containing a root, such as a square root or cube root.
How simplification works
Perfect powers are factored out of the radicand and moved in front of the radical sign.
Exact and decimal results
The exact radical form is shown together with a decimal approximation for quick comparison.
Frequently asked questions
What does it mean to simplify a radical?
It means removing every possible perfect square or perfect cube factor from inside the radical.
Can this calculator simplify cube roots?
Yes. Select Cube Root and enter a whole-number radicand.
Can I enter a negative radicand?
Negative values are supported for cube roots. A real square root does not exist for a negative radicand.
Does it show step-by-step work?
Yes. The calculator identifies the largest perfect-power factor and shows how the simplified result is formed.
Results are estimates generated locally in your browser using standard mathematical formulas. They are for informational and educational purposes only and are not a substitute for verification in coursework, examinations or professional contexts requiring certified accuracy. VisionVix accepts no liability for decisions based on this tool's output.