Simplify square roots and add, subtract or multiply radicals, with like-term handling.
Works with square roots only. Radicands must be whole numbers; coefficients may be decimals.
simplified radical
How to use this tool
Simplify a single root, add/subtract two radicals, or multiply two radicals.
Radicands must be whole numbers; coefficients can be decimals.
Each root is reduced to a√b form before any combining is attempted.
The decimal value lets you verify the simplified form equals the original expression.
Formula & worked example
√72 = 6√2, because 72 = 36 × 2 and √36 = 6. Also, 2√12 + 3√12: both are multiples of √3 after simplifying (2√12 = 4√3, 3√12 = 6√3), so the sum is 10√3. And √2 × √3 = √6.
Limitations — read this before you rely on it
Square roots only — cube roots and higher roots are not covered here. Radicands must be non-negative whole numbers; negative radicands would need complex numbers, which this tool does not do.
Frequently asked questions
Factor out the largest perfect square: 72 = 36 × 2, so √72 = 6√2.
No, not into a single radical — they are unlike terms, like x and y. You must simplify first: sometimes different-looking roots share a radicand after simplifying.
Both simplify to multiples of √3 (2√3 + 3√3), so the sum is 5√3.
√a × √b = √(ab), then simplify the result. Example: √2 × √3 = √6.
Because 50 = 25 × 2 and 25 is a perfect square, so √50 = 5√2.