Question

given that √2 s a rational. Prove that (5+3√2) is irrational number

Answer 1

Hey... I think this can be ur answer!!

Given :root2 is irrational
Now,
Let us assume that 5 +3root2 is rational
So,
5 +3root2 =a /b
3root2 =a /b - 5 =a-5b /b
Root2 =a-5b /3b

But we know that root2 is irrational
So our assumption was wrong
Hence 5+3root2 is irrational

Hence proved

Hope it helps you dear ☺️☺️☺️

Answer 2

Hope this helps you........