Square Root Calculator
Calculate square roots, cube roots, and nth roots of any number with precision.
Calculate Square, Cube, and Nth Root
Square Root: 0
Cube Root: 0
Nth Root (n=3): 0
About this Calculator
Calculate square roots, cube roots, and nth roots of any number with precision.
Formula & Calculations
Formula
√x = x^(1/2), ∛x = x^(1/3), ⁿ√x = x^(1/n)Where:
- x=The radicand (number under the radical symbol)
- n=The index of the root (2 for square, 3 for cube, etc.)
- ⁿ√x=The nth root of x, equal to x raised to the power of 1/n
Assumptions
- Negative values for even-indexed roots will return NaN (not a real number).
- Results are displayed with up to 10 decimal places.
Calculation Examples
Example 1
Inputs:Calculate square root of 64
Result:√64 = 8, ∛64 = 4
8 × 8 = 64, and 4 × 4 × 4 = 64.
Example 2
Inputs:Calculate 5th root of 32
Result:⁵√32 = 2
2 raised to the 5th power equals 32 (2 × 2 × 2 × 2 × 2 = 32).
Frequently Asked Questions
What is the difference between a square root and a cube root?
A square root finds a number that when multiplied by itself gives the original number. A cube root finds a number that when multiplied by itself twice (three factors total) gives the original number.
Can I calculate the root of a negative number?
Yes, but only for odd-indexed roots (like cube root, 5th root, etc.). For even-indexed roots (square root, 4th root), the result is not a real number.