Method
The n-th root of x is x^(1/n). For odd integer indices, negative radicands have negative real roots.
Math worksheet
Root Calculator
Find an n-th root and verify it by raising the result back to the selected index.
The calculation runs locally. Exact-integer tools avoid floating point; decimal and transcendental tools report rounding limits.
Method and verification guide
How the Root Calculator works
The n-th root of x is x^(1/n). For odd integer indices, negative radicands have negative real roots. The calculator keeps the intermediate values visible so you can reproduce the answer independently.
Interpret the result
Raising the reported root to the selected index should reproduce the radicand within rounding tolerance.
Check the assumptions
A zeroth root is undefined; even roots of negative numbers are not real.
Local calculation
Everything runs in this browser. Inputs are not sent to an external calculator.
Rounding
Displayed values may be rounded for readability while calculations use full floating-point precision unless the tool explicitly uses exact integers.
Scope
A zeroth root is undefined; even roots of negative numbers are not real.
Simple by design
Three steps to a clearer number.
Enter your details
Use realistic values in each field. You can change them anytime.
Calculate instantly
The formula runs locally, so there is no account or waiting time.
Use the result
Treat the answer as a practical estimate for your next decision.