What is a square plus b square?

The expression "a square plus b square" refers to the mathematical operation of adding the squares of two variables, a and b. This can be represented as:

Mathematical Representation

In algebra, this is written as:

a² + b²

Understanding the Components

• a²: This means "a multiplied by itself."
• b²: This means "b multiplied by itself."

Example Calculation

If a = 3 and b = 4, then:

• a² = 3² = 9
• b² = 4² = 16

Adding these gives:

9 + 16 = 25

Applications

This expression is commonly used in various fields, including geometry, physics, and engineering, particularly in the context of the Pythagorean theorem, where it helps in calculating distances.