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Whats real numbers?
A real number is any number between minus and plus infinity, or it is not an imaginary number.
Why minus into minus is plus?
It is an axiom necessary for the real numbers to form a field.
What is the square root of - 0.50?
there is no real square root of a minus number (think about it, minus x minus = plus, plus x plus=plus, and you can't have a minus x plus if it's a square root). However, there is an imaginary root which is "1/2i", where "i" represents the square root of -1. This number doesn't actually "exist" as such, it is just a theory which makes doing maths easier. However if you're not familiar with the concept of "i", you're probably not meant to end up with a minus square root (anything below A level further maths you don't usually need "i") . Check your calculations again.
Is the square of negative 54 rational'?
No, nor is it a real number. The square root of minus 54 is equal to the square root of plus 45, times i.
Is every irrrational number a real number?
Yes every irrational and rational number is a real number.
