Question

Q1. Prove that the following numbers are irrational numbers-

(i)√2 (ii)5√3​

Answer 1

the answer is given in the attachment above

Answer 2

Step-by-step explanation:

Let us prove that √5 is an irrational number, by using the contradiction method. So, say that √5 is a rational number can be expressed in the form of pq, where q ≠0. So, let √5 equals pq. Where p, q are co-prime integers i.e. they do not have any common factor except '1'.