The continued fraction representation of an irrational number is unique.
Most irrational numbers do not have any periodic or regular behavior in their continued fraction expansion.
The square root of 3 is an irrational number.
The square root of 2 was the first known irrational number.
An irrational number cannot be fully written down in decimal form.
"Would that be an irrational number or an imaginary one?"
The next table constructs an irrational number by using Cantor's 1874 construction.
One way to consider this is that the real value often has the characteristics of an irrational number.
I'm afraid our irrational numbers here on the Facility have grown since we spoke in your cabin.
A good example is the irrational number: square-root of 2.
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