Question

Find √5 is an irrational number

Answer 1

Answer: yes it is an irrational no.

Step-by-step explanation: √5 = 2.236.....

as it never ends so it can be said as non terminating and non repeating or an irrational no.

hence proved

Answer 2

Answer: I guess you want to ask how to prove that √5 is irrational so I am giving the answer for the same.

Step-by-step explanation: this question can be solved through the method of contradiction.

Let √5 be irrational I. E. Equal to p/q

So, 5 = p²/q² , 5q² = p²

So 5 is a factor of p² , 5 is a factor of p.

Let p be equal to 5m

So, p =5m , p² = 25m² , 5q² = 25m² , q² = 5m² , 5 is a factor of q² as well as q.

So, this means that √5 is not irrational, but a rational which contradicts our assumption.

Hence, proved.