Why do we need irrational numbers?
A thought or two...
One of the things you would probably like to be able to do with a number system is to measure things.
Suppose we have a square, the length of one side being equal to the span of my hand. That's about
Immediately we have an issue. My span is actually slightly larger than
Putting that consideration to one side (so to speak), suppose we have a square with each side of length
What is the length of its diagonal?
It is about
The exact figure is