Free online Nth root calculator

How to use

1. Enter the number whose root you want to find.
2. Set the degree (2 = square root, 3 = cube root, etc., up to 100).
3. The result and step-by-step working appear instantly.
4. Click “Share with my numbers” to copy a URL with your inputs.

Formula

ⁿ√x = x^(1/n)

For negative x with odd n:

ⁿ√(−|x|) = −(|x|^(1/n))

Root symbols

Worked examples

• ∛64 = 4 (because 4³ = 64) — perfect root
• ∜16 = 2 (because 2⁴ = 16) — perfect root
• √2 ≈ 1.4142135624 — not a perfect root
• ∛(−8) = −2 (real, odd root of negative number)
• ⁴√(−16) — no real result (even root of negative)

Notes

• Root degree must be an integer between 2 and 100.
• Even roots of negative numbers have no real solution.
• Results that are not perfect roots are shown to 10 significant figures.