Root Calculator
Calculate square roots, cube roots, and nth roots.
Number & root
Cube root of 64
4
Check: result^n
64
Square root
8
Roots are fractional exponents
The nth root of x is x^(1/n): √64 = 8 because 8² = 64, and ∛64 = 4. Odd roots handle negatives cleanly (∛−27 = −3); even roots of negatives leave the real numbers entirely.
Estimating by hand
Bracket with known squares or cubes: √50 sits between √49 = 7 and √64 = 8, nearer 7. One round of averaging (7 + 50/7)/2 ≈ 7.07 nails it to two decimals — the same Newton iteration your calculator uses internally.
Frequently asked questions
- How does the Root Calculator work?
- Calculate square roots, cube roots, and nth roots.
- Is the Root Calculator free to use?
- Yes. The Root Calculator is completely free, runs entirely in your browser, and requires no account or sign-up. Your inputs never leave your device.
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