Question

Given that root 3 is an irrational number prove that 2 + root 3 is an irrational number

Answer 1

Answer:

Step-by-step explanation:

Let 2+√3 be a rational number.

Thus, 2+√3 = p/q

∴2-p/q = √3

Here p/q is a rational number thus 2-p/q is a rational and because of this √3 is a rational number,

but this contradicts the fact that √3 is an irrational number.

∴2+√3 is an irrational number.