Question

show that (2+√3) (2-√3) is rational no ​

Answer 1

Step-by-step explanation:

A rational number can be written in the form of p/q. 2+sqrt(3)=p/q sqrt(3)=p/q-2 sqrt(3)=(p-2q)/q p q are integers then (p-2q)/q is a rational number. But this contradicts the fact that sqrt(3) is an irrational number. So our supposition is false. Therefore 2+sqrt(3) is an irrational number. Hence proved.