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CBSE - IX
Irrational Numbers
You might have learnt about representing various types of numbers such as Natural numbers, Whole numbers, Integers, Rational numbers on the number line.
Rational Numbers: Numbers that can be written in the form of 
, where p, q 
and 
.
The collection of Rational numbers is denoted by Q. Between any two rational numbers there exists infinitely many rational numbers.
Irrational numbers:Numbers which cannot be expressed in the form of 
, where p, q 
and
.
The collection of irrational numbers is denoted by
.
Pythagoras Theorem: In a right-angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
Using this theorem we can represent the irrational numbers on the number line.
