Radical Operations Calculator
How to Work with Radicals
This calculator performs several operations on radicals.
Simplifying Radicals:
- Find the prime factorization of the number inside the radical (the radicand).
- For every group of factors matching the root index, move one factor outside.
Adding/Subtracting Radicals:
- First, simplify both radicals.
- If the radicands are the same, you can add or subtract the coefficients (the numbers outside).
- If the radicands are different, they cannot be combined.
Multiplying Radicals:
- Multiply the coefficients together.
- Multiply the radicands together.
- Simplify the resulting radical.
Dividing Radicals:
- Divide the coefficients and divide the radicands.
- If there is a radical in the denominator, you must rationalize it by multiplying the top and bottom of the fraction by that radical.
- Simplify the final expression.
Disclaimer: This tool is for educational purposes and works with integer inputs. Operations assume a square root (index of 2).
Simplifies any radical (nth root) into its simplest form.
Adds or subtracts two radicals (a√b + c√d).
Multiplies two radicals (a√b × c√d).
Divides two radicals (a√b / c√d).
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