Question

prove that √2 is not a rational number

Answer 1

hope it will help you

Answer 2

Solution :—

To find the square root of 2 by long division method as shown in the attachment : ^^^

See the attached file !

$= > \sqrt{2} = 1.4142135.$

Clearly , the decimal representation of √2 is neither terminating nor repeating. Hence , it is not a rational number.