Direct Answer: The Square Root of 144
The square root of 144 is 12. This means that 12 × 12 = 144, making 12 the principal (positive) square root of the number.
Key Principles of Square Roots
A square root of a number x is a value that, when multiplied by itself, equals x. For perfect squares like 144, the square root is an integer. The square root function is denoted by the radical symbol √, so √144 = 12. Square roots can be positive or negative, but the principal square root is non-negative.
Practical Example
Consider a square garden with an area of 144 square meters. The side length of the garden is the square root of 144, which is 12 meters. This calculation helps in determining dimensions from known areas in geometry and real-world planning.
Importance and Applications
Understanding square roots is fundamental in mathematics for solving equations, geometry, and physics. It is applied in calculating distances, areas, and in fields like engineering for structural designs. Recognizing perfect squares like 144 simplifies computations without needing advanced tools.