For example, the imaginary number: 1+2i, and the modulus is directly substituted into the formula: modulus = √ (A 2+B 2) = √ 5 (where a= 1, b=2).

(2) The imaginary number is as follows: bi. Modulus = √( B2)= 1 丨丨.

For example, the imaginary number 2i, find its modulus, that is, 丨 2 丨 =2.

Imaginary modules in mathematics. The positive square root of the sum of squares of the real part and imaginary part of an imaginary number is called the module of the imaginary number.

The modulus of imaginary number is the distance from a point (a, b) on the complex plane to the origin.

Extended data:

The word imaginary number was invented by Descartes, a famous mathematician and philosopher in17th century, because the concept at that time thought it was a nonexistent real number. Later, it was found that the imaginary number can correspond to the vertical axis on the plane, which is as real as the real number corresponding to the horizontal axis on the plane.

It is found that even if all rational numbers and irrational numbers are used, the problem of solving algebraic equations cannot be solved. Like x? The simplest quadratic equation+1=0 has no solution in the real number range.

12 century Indian mathematician Bashgaro thinks this equation has no solution. He thinks that the square of a positive number is a positive number and the square of a negative number is also a positive number. Therefore, the square root of a positive number is double; A positive number and a negative number, negative numbers have no square root, so negative numbers are not squares. This is tantamount to denying the existence of the negative square root of the equation.

/kloc-in the 6th century, Italian mathematician cardano recorded it as1545r15-15m in his book Great Skills, which is the earliest imaginative symbol. But he thinks this is just a formal expression. 1637, the French mathematician Descartes gave the name of "imaginary number" for the first time in Geometry, corresponding to "real number".