1. What are irrational numbers? How do they differ from rational
numbers? give examples
Answers
Answer:
Rational Numbers: The real numbers which can be represented in the form of the ratio of two integers, say P/Q, where Q is not equal to zero are called rational numbers. Irrational Numbers: The real numbers which cannot be expressed in the form of the ratio of two integers are called irrational numbers.Example: √2, √3, √5, √11, √21, π(Pi) are all irrational.
An irrational number is a type of real number which cannot be represented as a simple fraction. It cannot be expressed in the form of a ratio. If N is irrational, then N is not equal to p/q where p and q are integers and q is not equal to 0.
While an irrational number cannot be written in a fraction. The rational number includes numbers that are perfect squares like 9, 16, 25 and so on. On the other hand, an irrational number includes surds like 2, 3, 5, etc. The rational number includes only those decimals, which are finite and repeating.
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