Education
Square root and cube root calculator
Roots come up everywhere: geometry homework, the Pythagorean theorem, standard deviations, and back-solving growth rates. Enter any number and get the square root and cube root instantly, plus any nth root from 2 to 12 with the n of your choice. Negative numbers are handled correctly — odd roots of negatives are real, even roots are flagged rather than silently wrong — and a check line shows the arithmetic so you can trust the answer at a glance.
Live calculator
Enter your details
Your estimate
Results
The math, plainly
How it works
- 01
The square root is the number that, multiplied by itself, gives your input.
- 02
The cube root handles negatives correctly — ∛−27 is −3 — because odd roots of negatives are real.
- 03
The nth root takes any n from 2 to 12; even roots of negative numbers have no real solution and the result says so.
Try a real scenario
144
InputsValue 144, n = 4
Result√144 = 12, ∛144 ≈ 5.24, and the 4th root is ≈ 3.46.