Question

Prove that following number are irrational 1)3+√5 Please give me answer immediately

Answer 1

Step-by-step explanation:

Let us assume to the contrary that 3+√5 is rational.

=>3+√5=p/q

=>√5=p/q-3

Here, p/q-3 is rational number...

=>√5 is also a rational number. But this contradicts the fact that√5 is irrational. This contradiction arises because of our wrong assumption that 3+√5 is rational.

Therefore, 3+√5 is irrational.