Square root
Input
- x: 144
Calculation
sqrt(144)
Result
Result = 12.
Root Calculator
Evaluate square, cube, and nth roots for numeric expressions.
- Formula-based results
- Worked examples included
- Mobile-friendly layout
- Clear input labels
Evaluate square, cube, and nth roots for numeric expressions.
Overview
Roots reverse exponentiation by finding values that, when raised to a power, return the original number. They are central in geometry, statistics, and physics formulas.
Square roots appear in distance and variance formulas, while cube and higher roots appear in volume scaling and growth-rate transformations. Accurate root calculation is important when precision matters.
This calculator handles exact roots when possible and decimal approximations when values are irrational. It also supports nth-root notation for flexible algebra and science problems.
Steps
Select square root, cube root, or custom n-th root.
Provide the value inside the root symbol.
The tool evaluates exact or approximate result.
Even roots of negative numbers are not real.
Use output in geometry, statistics, or scaling equations.
Math
n-th root of x = x^(1/n); sqrt(x)=x^(1/2)
Root operations are equivalent to fractional exponents. Domain restrictions depend on root order and sign of input values.
Worked cases
sqrt(144)
Result = 12.
343^(1/3)
Result = 7.
32^(1/5)
Result = 2.
Why use this
Questions