Question

22. Prove that √2-3√5 is a irrational number​

Answer 1

Step-by-step explanation:

let 2-3√5 be rational number

and 2 is also a rational no.

so,2-3√5-2 is also a rational no.

therefore ,3√5 is a rational

and 3 is also a rational

so, 3√5/3 is also a rational no.

therefore √5 is a

rational

but √5 is an irrational

therefore it is contradiction

so,2-3√5 is an irrational no.proved