Question

prove that root 2 is irrational and justify whether 6 + root 2 is rational or irrational​

Answer 1

Answer:

let root 2 be rational no.

that means root2 can be write in the form of p/q

root2=p/q squaring both the side

          2              2

(root2)      = p/q

2=p2/q2  

2q2 =p2   ........       (1)

; q2 is a factor of p2

; p is a factor of q

; p/q are not following the rule of rational no.

; our assumtion was wrong

root to is a rational

explanation:

rational no. can be write in the form of p/q where q not equal to 0 and p and q are integer  and co . prime