Question

prove root 5 is an irrational number using division method

Answer 1

Root of 5 = 2.236

This shows it is not perfect square and it's root is in decimal. (proved)

Answer 2

Solution :-

Please have a look at the attachment for the solution of this question.

⇒ √5 = 2.236067977 ............ is non terminating and non recurring decimal. So, √5 is an irrational number.

Hence proved.