Root Calculator
Calculate root instantly in your browser.
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What this tool does
Calculate root instantly in your browser. Index 2 is the square root and index 3 the cube root; the general case uses x^(1/n).
How to use the Root Calculator
- Enter or select root index n.
- Enter or select number (radicand).
- Read the calculated result; change any measurement to compare alternatives.
Formula
ⁿ√x = x^(1/n); for even n the radicand must be nonnegative, for odd n negative radicands keep their sign.
- index
- Root index n
- x
- Number (radicand)
Index 2 is the square root and index 3 the cube root; the general case uses x^(1/n).
Worked example
For root calculator, the following measurements illustrate the exact method: Root index n: 3; Number (radicand): 27.
Inputs
- Root index n3
- Number (radicand)27
Result
- 3th root3
- Check (root ^ index)27
Results explained
- 3th root
- 3th root from the formula above. Index 2 is the square root and index 3 the cube root; the general case uses x^(1/n).
- Check (root ^ index)
- Check (root ^ index) from the formula above. Index 2 is the square root and index 3 the cube root; the general case uses x^(1/n).
Frequently asked questions
ⁿ√x = x^(1/n); for even n the radicand must be nonnegative, for odd n negative radicands keep their sign.
Index 2 is the square root and index 3 the cube root; the general case uses x^(1/n).
Where mathematically meaningful, yes. Fields specify permitted ranges and undefined operations display an error.
Exact integer calculations use safe integers; decimal calculations use browser floating point, so small rounding differences can occur.
All values remain in your browser and are never uploaded.