In solutions to quadratic equations, and higher order equations, it is usual, in most cases, to have more than one solution. A solution such as the square root of minus one is said to be imaginary as there are no real numbers that can be squared that give you the result of minus one. There is a branch of mathematics called complex numbers that you would need to study to understand in depth but it is a useful tool for representing and performing calculations in heavy electrics (amongst other things) where equipment may be powered by three phase currents.
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Nearly any number you can think of is a Real Number. So 8 is a real number.
no, every number is a real number --- There are numbers that are not real numbers. They are called imaginary numbers, and have the property that when they are squared, the result is negative. The square root of -1 is called i, and the square root of any other negative number is i times the square root of the absolute value of the number. So the square root of -4 is 2i.
yes
A real number is any number so yes it is always a real number * * * * * Except if the second number is 0, in which case the quotient is not defined.
Yes. The set of whole numbers (more usually called Integers) is a strict subset of the set of Real Numbers.