What are irrational numbers?
An example of an AI chatbot conversation about irrational numbers and their properties.
Can you explain what irrational numbers are?
Sure! Irrational numbers are numbers that cannot be expressed as a simple fraction. This means they cannot be written as the ratio of two integers.
Can you give me some examples of irrational numbers?
Absolutely! Common examples of irrational numbers include C0 (pi) and the square root of 2. Both cannot be expressed as fractions.
Why are they called irrational?
They are called irrational because they cannot be expressed as a ratio of integers, which is what we typically think of as 'rational' numbers.
How do irrational numbers fit into the number system?
Irrational numbers are part of the real number system, which includes both rational and irrational numbers. They fill in the gaps between rational numbers.
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