Question

1. Prove that 2+√3 is an irrational number​

Answer 1

Answer:

let us assume 2+√3 as rational.

⇒2+√3=a/b

∴2-a/b=-√3 or √3=a/b-2

⇒√3=a/b-2

√3=a-2b/b

∵a and b are positive integers  

∴a-2b/b is rational

⇒√3 is rational

but we know that √3 is irrational  

∴⇒2+√3 is irrational

Hope it helps

Please mark as Brainliest

Answer 2

Answer:

Same method but numbers are changed so do accordingly .

Follow and Mark as brainliest .