Question

Prove that root5 +root 7is on irrational

Answer 1

Step-by-step explanation:

here comes ur answer.........

Answer 2

Step-by-step explanation:

let us assume that

√5+√7 is an rational number

(which is in the form of p/q,where q is not equal to 0,p and q not have common factors)

where,

√5+√7=p/q

√5=p/q-√5

squaring on both sides

(√5)^2=(p/q-√5)^2

5=(p/q)^2-2(p/q)(√5)+5

2p/q√5=(p/q)^2

√5=(p/q)^2/2p/q

here LHS is irrational and RHS is rational

which is a contradiction

Hence proved.