Question

if a is rational number and √b is irrational then prove that (a+√b) is irrational​

Answer 1

Answer:

Step-by-step explanation: prove by contrary

assume a+√b be rational

so a+√b=r÷s whe r and s are integers

a+√b=r/s

√b=r/s-a

√b=r-as/s

√b here proves to be a rational number by taking r-as as p and s=q because p/q is a rational number. but √b is irrational number. so our assumption is wrong, so a+√b is an irrational number.

please mark as brainy

Answer 2

$\textbf{Answer is in Attachment !}$