Square Root Calculator Online | Cube Root & Nth Root Calculator
Free online roots calculator to find square root, cube root, and any nth root. Fast, accurate, and easy to use.
Root Calculator Parameters
📊 Root Calculation Formulas & Standards
Root calculation is the inverse operation of exponentiation. This roots calculator uses standard mathematical formulas to compute square root, cube root, and any nth root accurately.
| Root Type | Mathematical Expression | Formula | Applicable Range |
|---|---|---|---|
| Square Root | √x | x^(1/2) | x ≥ 0 |
| Cube Root | ∛x | x^(1/3) | Any real number |
| nth Root | ⁿ√x | x^(1/n) | x ≥ 0 if n even; any real x if n odd |
📝 How to Use the Root Calculator
1. What is a square root calculator? A square root calculator computes the second root of a number. The square root of x is a number that, when multiplied by itself, gives x. For example, the square root of 16 is 4.
2. Cube root calculation rules The cube root of x is a number that, when cubed, gives x. Unlike square roots, cube roots can be computed for negative numbers. For example, the cube root of -8 is -2.
3. Nth root formula The nth root of x is calculated as x^(1/n). Rules:
① If n is even, x must be ≥ 0
② If n is odd, x can be any real number
③ The 1st root of any number is the number itself
④ The nth root of 0 is 0
4. Important notes
• The square root calculator only accepts non-negative numbers
• Results are displayed with 6 decimal places
• The n value must be an integer ≥ 2
• The calculator uses exponentiation to compute roots
5. Common applications
• Square root: geometry, physics, statistics
• Cube root: volume calculations, engineering
• Nth root: finance, scientific research, data modeling