Question

27. Prove that 2+√3/5 is an irrational number, given that √3 is an irrational.​

Answer 1

Answer:

Let 2 + 5√3 = a, where a is a rational number. Which is a contradiction as LHS is irrational and RHS is rational. ∴ 2 + 5√3 can not be rational. Hence, 2 + 5√3 + is irrational.

Answer 2

Answer:

rational + irrational = irrational number

so, 2+√3/5 is irrational number