Radicals Calculator
Simplify, add, subtract, multiply, and divide radical expressions. Handles square roots, cube roots, and higher roots with step-by-step solutions.
Published by:
isCalculator Editorial Team
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How to use this tool?
This calculator handles operations on radicals (roots). Follow these steps:
- Select an operation from the dropdown: Simplify, Add, Subtract, Multiply, or Divide.
- Enter the root (n) – must be an integer ≥ 2 (e.g., 2 for square root, 3 for cube root).
- Enter the first radicand (the number under the radical). For Simplify, only this field is needed.
- For Add, Subtract, Multiply, or Divide, also enter a second radicand.
- Click Calculate.
The result shows the simplified radical expression. For Add/Subtract, radicals must be like (same radicand) to combine. Steps are shown below the result.
Note: All numbers can be decimals or integers. Negative radicands are allowed for odd roots.
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Frequently Asked Questions
A radical expression is an expression that contains a root, such as a square root, cube root, or higher roots. It consists of a radicand (the number under the root) and an index (the root degree).
To simplify a radical, factor the radicand into perfect powers of the index, then move those factors outside the root. For example, √8 simplifies to 2√2 because 8 = 4 * 2 and √4 = 2.
Only like radicals (same index and same radicand) can be added or subtracted. If the radicands are different after simplification, they cannot be combined.
