**Tahlia Paz**

**Algebra 2/ Period 6**

**November 17, 2008**

**Complex Numbers Summary**

The concept of mathematics is a very significant part of daily life and it is used in mostly everything that we do or utilize one way or another. Mathematics has a huge repertory of the different systems, rules, numbers, etc. Mathematicians have given math a tremendous amount of different subjects using digits including a group of digits named "Complex Numbers". A mathematician from Italy named Girolamo Cardano was who discovered these types of digits in the 16th century, referred his invention as "fictitious" because complex numbers have an invented letter and a real number which forms an equation **'a+bi'** . Cardano invented the idea of complex numbers when he was trying to invent solutions to cubic equations and he was following the basics of addition, subtraction, division, and multiplication to compose a system that could be used with complex numbers.

Although complex numbers was a significant invention in mathematics, this idea wasn't truly accepted right as a actual math system. Other mathematicians viewed complex numbers equations as nonsense due to that they were somehow considered "imaginary" and they didn't really solve anything of true matter as other systems did. By the mid-sixteenth century the idea of complex numbers was used to contribute to cubic formulas. The definition of complex numbers basically mean that a real number and an imaginary number join together to form a solution of real numbers. Mathematicians also discovered that using imaginary numbers contributed to finding the square root of a negative number which with a real number wasn't possible. The basic definition that is used for complex numbers is that they are numbers that is a multiple of "i' in which "i" is defined by "i" squared which would equal to -1.