First, understand the concept of arithmetic square root.
Arithmetic square root is a mathematical term, which means that the square of a nonnegative real number is equal to the real number itself. In other words, if the square of a number is equal to B, then we say that B is the arithmetic square root of A. For example, if the square of 4 is equal to 16, then the arithmetic square root of 16 is 4.
Second, calculate the arithmetic square root of sixteen.
First, we need to find a number whose square is equal to 16. This number is 4, because the square of 4 is equal to 16. Then, we need to determine whether this number is an integer. In this example, 4 is an integer, so we can directly conclude that the arithmetic square root of 16 is 4.
Third, summary.
Through the above steps, we get that the arithmetic square root of sixteen is 4. This result can be obtained by manual calculation or by using a calculator or computer program. When solving practical problems, we can choose the appropriate method to calculate the arithmetic square root according to our needs.
The origin of arithmetic square root
I. Contribution of the Arab mathematician Al Kalasadi
The concept of arithmetic square root originated from the Arab mathematician Al-Qalasadi in the 5th century A.D./Kloc-0. He first used the first letter "j" of Arabic radical symbol term "jidr" to represent the square root. His method of use is to put symbols on numbers that need square roots, and sometimes use a horizontal line to separate symbols from words.
Secondly, Descartes improved the arithmetic square root symbol.
It was not until16th century that the great mathematician Descartes appeared that the common form (root sign √) was adopted to represent the square root. The use of this form is more concise and clear, and it is more in line with the expression habits of modern mathematics.
Third, the development of the concept of arithmetic square root
On this basis, the concept of arithmetic square root is further developed. Refers to a real number whose square is equal to the real number itself. For example, the square of the number 4 is equal to 16, so the arithmetic square root of 16 is 4. This concept is based on the concept of square root in mathematics, and it is the key to understand how to find the arithmetic square root of a number and correctly apply its properties to calculate it.
Fourth, summary.
Generally speaking, the origin and development of arithmetic square root is a gradual deepening process, from the initial symbolic representation to today's wide application, during which many mathematicians have made contributions and efforts.