Root Calculator
Find the real nth root, including negative numbers with odd root degrees.
Formula
rⁿ = x; choose r ≥ 0 for x ≥ 0; negative x requires odd n
Real root ≈ (27)^(1÷(3))
How to use
- Enter the number under the root.
- Enter a positive integer degree n.
- Read the real root and check r raised to n.
Examples
- Fourth root of 81 = 3; cube root of −125 = −5.
Frequently asked questions
Which even root is shown?
The principal nonnegative root. The fourth root of 81 is 3.
Can I enter a negative number?
Yes, for odd degrees. Negative numbers have no real even root and are rejected.
Are irrational roots exact on screen?
No. Decimal results are rounded; raising the displayed result to n may differ slightly from x.
Sources
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