Question

Proove that root 2 + root 11 is an irrational

Answer 1

therefore, it can be written as p/q, where q=/=0. so, 2√11 = p/q. (taking 2 on other side), √11 = p/2q. LHS is irrational, and RHS is rational.

Answer 2

Answer:

Let us assume 2√11 is rational.

therefore, it can be written as p/q, where q=/=0

so, 2√11 = p/q

(taking 2 on other side), √11 = p/2q

LHS is irrational, and RHS is rational. This contradiction has occured due to our incorrect assumption that 2√11 is rational.

therefore, 2√11 is irrational.