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What is an unreal number?
Imaginary and complex numbers are an extension of the Real Number system. They are not called unreal. An imaginary number is a non-existent number, like the square root of a negative number. For example, the square root of -4 is 2i (i stands for imaginary). There are also complex numbers, which are defined as the sum of a real number and an imaginary number (e.g. 4 + 3i). An imaginary number does not exist, but can nevertheless be useful in certain applications. An imaginary number is any number that is the product of a real number and the square root of negative one (-1). The square root of -1 is the "unit" of the set of imaginary numbers, and is referred to as "i". As you know, negative numbers cannot have square roots, and so the square root of any negative number is "imaginary". There are also "complex numbers", which are the sum of a real number and an imaginary number. For example 3 + 2i.
Example of properties of real numbers?
examples: 1, 2, 0, -5, sqrt(2), pi etc. real numbers means numbers on the real plane. the opposite of real numbers are imaginary numbers which takes the format of ai, in which the i is the imaginary unit they do not exist on the real plane, but only on the imaginary plane. they can be found by square-rooting a negative number, e.g. sqrt(-4)=2i usually imaginary numbers are used with real numbers, with the format a+bi, and this is called complex numbers.
Which of these sets of numbers is not a subset of the real numbers irrational integer rational and imaginary?
Imaginary numbers are not a subset of the real numbers; imaginary means not real.
What is the complex number of its distance for the origin in the complex plane?
This is called the magnitude. It can be found (for a complex number a + bi) as:(where a & b are both real numbers and i is the imaginary unit)sqrt(a^2 + b^2)
Are imaginary numbers irrational numbers?
No. Irrational numbers are real numbers, therefore it is not imaginary.
