Square Root Calculator
Easily find square roots with our square root calculator. Enter any number to quickly calculate its square root for fast and accurate results.
What is a Square Root?
The square root of a number is a value that, when multiplied by itself, equals the original number. For example: √49 = 7, since 7 × 7 = 49.
Square Root Formula
Square Root
Where:
Example:
√64 = 8, because 8 × 8 = 64
Example Calculations
Square Root Calculator
A square root calculator finds the number that, when multiplied by itself, equals the given number.
Mathematically: If x² = N, then x = √N
Real-Life Example
Suppose you want to find the square root of 49:
- √49 = 7 because 7 × 7 = 49
- √64 = 8 because 8 × 8 = 64
- √144 = 12 because 12 × 12 = 144
Key Insight
Square root calculations are widely used in geometry, physics, and everyday problem solving. For example, if the area of a square is 49 units², the side length of the square is 7 units.
Why Use a Square Root Calculator?
A Square Root Calculator saves time and ensures accuracy in mathematics. It’s especially helpful for students, engineers, scientists, and financial analysts dealing with complex calculations.
Applications of Square Roots
- Geometry – calculating areas and side lengths.
- Physics – solving equations involving squares.
- Finance – computing volatility and risk models.
- Everyday math – simplifying calculations quickly.