Question

Prove that 4 + root 3 is irrational

Answer 1

Answer:

let 4+√3 is a rational number.

4+√3=p/q , where p and q are integer.

√3=p/q-4/1

√3=p-4q/q

therefore, p,q,4 are integer.

√3 is also be a integer.

but ,we know that √3 is an irrational number this contradiction arises due to our assumption that ✓3 is a rational number.

therefore,✓3 is an irrational number.