Question 102959


In mathematics, a complex number is a number of the form
{{{a + bi}}}

where {{{a}}} and {{{b}}} are {{{real}}} numbers, and {{{i}}} is the {{{imaginary}}} unit, with the property {{{i ^2 =-1}}}. 

The {{{real}}}{{{ number}}}{{{ a}}} is called the real part of the complex number, and the {{{real}}}{{{ number}}} {{{ b}}} is the {{{imaginary}}} part. 

Real numbers {{{may}}} be considered to be complex numbers with an imaginary part of {{{zero}}}; that is, the real number {{{a }}}is equivalent to the complex number {{{a+0i}}}.

In mathematics, the {{{real}}}{{{ numbers}}} may be described informally as numbers that can be given by an infinite decimal representation, such as 2.4871773339….
The real numbers {{{include}}} both {{{rational}}} numbers (such as {{{42}}} and −{{{23/129}}}), and {{{irrational}}} numbers (such as {{{Pi}}} and the {{{sqrt (2)}}}, and can be represented as points along an infinitely long number line.