# Why do we need irrational numbers?

##### 1 Answer

Feb 27, 2017

A thought or two...

#### Explanation:

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