Quickly calculate any nth root, including square, cube, 4th, or 5th roots, with our free General Root Calculator. Get instant, accurate results for all math problems.
n = 2 (square), 3 (cube), 4 (fourth), etc.
Can be positive or negative
Quick Examples – Click to Try:
Calculation Result
DEMO
5th Root
2
⁵√32 = 2
Perfect 5th Power ✓
Root Degree (n)
5
Original Number (x)
32
Result (ⁿ√x)
2.000000
| Property | Value |
|---|---|
| Root Degree (n) | 5 |
| Original Number (x) | 32 |
| Root Result (y) | 2.000000 |
| Verification | 2⁵ = 2 × 2 × 2 × 2 × 2 = 32 ✓ |
| Exponent Form | 32^(1/5) = 2 |
| Decimal Precision | 2.0000000000 |
General Root Formula:
ⁿ√x = y where yⁿ = x
This means y multiplied by itself n times equals x
Example: ⁵√32 = 2, because 2⁵ = 2 × 2 × 2 × 2 × 2 = 32
Note: Even roots (n = 2, 4, 6…) of negative numbers are not real
Odd roots: For negative x and odd n: ⁿ√(-x) = -(ⁿ√x)
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