here are the three numbers whose decimal expansion are non terminating and non recurring:-1) √2= 1.4142………2) √3= 1.73205……3) √5 = 2.236……these values are non terminating and non recurring.thus, we say them as irrational numbers.IRRATIONAL NUMBERS:-1)The numbers which cannot be written in p/Q form and known as irrational numbers.2) the decimals which are non terminating and non recurring are known as irrational numbers.3) is the natural number “n” is not a square number, then the square root of the “n” is an irrational number.EXAMPLES OF IRRATIONAL NUMBERS:-1) root 22) root 33) root 54) root 65) πetc.