According to the definition of power, the calculation method of square can be restated in the form of addition, that is, the cardinal number multiplied by itself. For example, the square of x can be expressed as X * X, and the square can also be used to calculate the square root of non-negative real numbers. For example, the square root of 4 can be expressed as √4, and its value is 2. Square can also be used to calculate the area of geometry. For example, the area of a square is the square of the side length, which is expressed by the formula S = A 2, where A is the side length of a square.

There are two ways to calculate the square. The first method is to directly multiply the number by itself, such as calculating the square of 4, which can be expressed as 4 * 4 = 16. There is also the use of mathematical formulas for calculation. For example, to calculate the area of a square, it can be expressed as s = a 2, where a is the side length of the square.

Another example is to calculate the area of a trapezoid, which can be expressed as s = (a+b) * h/2, where a and b are the upper and lower bottoms of the trapezoid and h is the height of the trapezoid. In addition, there are some commonly used formulas to calculate the square, such as calculating the area of a circle, which can be expressed as s = π r 2, where r is the radius of the circle.

Historical stories about the square:

1, the origin of the square: the origin of the square can be traced back to ancient Greece. In the third century BC, Archimedes discovered the concept of square when he was studying how to calculate the area of a circle. He approximated the area of a circle with a 64-sided polygon (an equilateral polygon one-sixth the length of a circle) and found that this area was similar to that of a circle. Since then, the concept of square has been applied in mathematics.

2. Square and astronomy: Square also has important applications in ancient astronomy. When building the pyramids, the ancient Egyptians needed to calculate a large area of land. They use a method called "rectangular grid" to calculate the land area. They divide the land into many small rectangles, then calculate the area of each rectangle, and then add up the areas of all rectangles to get the area of the whole land. This method actually regards the area of land as the square of a plane.

3. Square and music: Square also plays an important role in music. In music theory, the frequency of notes is expressed as the reciprocal of the square of time. For example, the frequency of a note vibrates 440 times per second, so its frequency can be expressed as 1/( 1 sec) 2. This form of expression has established a close relationship between music and mathematics.