Root Calculator
Enter a number and a positive integer root index to calculate its real nth root locally.
A QUICK WALKTHROUGH
How to use this tool
- Enter a number between −10¹² and 10¹².
- Choose an integer root index from 1 to 99.
- Calculate the real result or receive a clear domain error.
Real-domain rules
Negative numbers are accepted for odd indices and rejected for even indices because their real even roots do not exist.
Bounded inputs
The number is limited to ±10¹² and the integer index to 1–99. Zero is rejected as an index.
Local calculation
Validation and calculation happen in your browser; values are not uploaded or stored.
GOOD TO KNOW
Common questions
Can I calculate a cube root of a negative number?
Yes. Odd indices return the signed real root.
What happens for a negative square root?
The tool reports that no real result exists.
Can the index be zero?
No. Zero is outside the root definition used here.