Nth Root Calculator
Calculate the square root, cube root, or any nth root of a number instantly — runs 100% in your browser with no upload.
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🔒 Calculated in your browser — nothing is uploaded.
What this nth root calculator does
Enter a number and a root degree n, and this tool instantly returns the real nth root. Set n to 2 for a square root, 3 for a cube root, or any other value for a higher root — there are quick buttons for the two most common cases. The result updates live as you type, and a Copy button puts the answer on your clipboard. Because it is a plain arithmetic calculator, it handles decimals and large numbers just as easily as whole ones.
How roots of negative numbers work
The calculator is sign-aware. A negative number has a real root only when the degree is an odd whole number: for example the cube root of −8 is −2, because (−2) × (−2) × (−2) = −8. Even roots — like the square root — of a negative number are not defined over the real numbers, so the tool tells you no real root exists instead of returning a misleading value. Internally it computes the root as the magnitude raised to the power 1/n and then restores the original sign for odd degrees.
Frequently asked questions
How do I get a square root or cube root?
Set the root degree n to 2 for a square root or 3 for a cube root — the quick buttons do this for you. Any other whole or decimal n gives the corresponding higher root.
Why does the cube root of a negative number work but the square root does not?
A negative number has a real root only for odd degrees. The cube root of −8 is −2 because multiplying −2 by itself three times gives −8, but no real number squared gives a negative result, so an even root of a negative number is undefined over the reals.
Is anything I type uploaded to a server?
No. Every calculation runs locally in your browser with JavaScript. The numbers you enter are never sent, stored, or logged anywhere.