Square Root Calculator
About Square Roots
A square root of a number is a value that, when multiplied by itself, gives the original number.
Properties of Square Roots:
1. √(a × b) = √a × √b
2. √(a/b) = √a / √b
3. √(a²) = |a|
4. √(-a) = i√a (where i is the imaginary unit)
1. √(a × b) = √a × √b
2. √(a/b) = √a / √b
3. √(a²) = |a|
4. √(-a) = i√a (where i is the imaginary unit)
Examples:
- √4 = 2 (2 × 2 = 4)
- √9 = 3 (3 × 3 = 9)
- √2 ≈ 1.4142135623730951
- √-1 = i (imaginary number)
Applications:
- Geometry (Pythagorean theorem)
- Physics (wave equations)
- Engineering (stress calculations)
- Statistics (standard deviation)
- Computer graphics (distance calculations)
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