Question

Prove that (i) √2 + √3 (ii) 3 + 2√5 is are irrational numbers

Answer 1

Answer:

irrational numbers are those numbers which can not be written in form of p/q 1,2both can not be written in form of p/q so they are irrational number

Answer 2

(continuation of image 2)

But this contradicts our statement that a & b are co prime.

so, √5 is irrational

Buy eq. 1 says √5 is rational

So, 3+2√5 is irrational

Hope this will help you !

Good Luck