What is the difference between real and imaginary numbers?

1 is a real number (natural).


1/2 is a real number (rational).


-1/2 is a real number (negative).


sqrt(1/2) is a real number (irrational).


BUT sqrt(-1) is NOT a real number (imaginary).What is the difference between real and imaginary numbers?
reall numbers are what really happenend and imaginary one are one you tell people





like i told you i slept with 3 girls last month


but really only slept with 1





the 3 was imaginary and the 1 was realWhat is the difference between real and imaginary numbers?
A real number is in the set of real numbers. An imaginary number is one with a coefficient of the square root of -1 or i. A complex number has the form z = a + bi where a, b are real numbers.
All imaginary numbers contain i, the square root of -1. So all imaginary numbers are the square roots of negative numbers. For instance, the square root of -9 is 3i. The square root of -20 is 2*sqrt(5)i. And so on. Real numbers don't contain i, so their squares are positive.





There are also complex numbers, which are the sum of a real number and an imaginary one, such as 3 + 2i. You tend to get those when you solve certain quadratic equations, because they involve adding a real number and a square root. If the square root is imaginary, you get a complex result.
real number





In mathematics, a quantity that can be expressed as a finite or infinite decimal expansion. The counting numbers, integers, rational numbers, and irrational numbers are all real numbers. Real numbers are used in measuring continuously varying quantities (e.g., size, time), in contrast to measurements that result from counting. The word real distinguishes them from the imaginary numbers.


In mathematics, an imaginary number (or purely imaginary number) is a complex number whose square is a negative real number or zero.