Question

find the √5 +√7 is irrational​

Answer 1

Answer:

Step-by-step explanation:

let us assume √5+√7 is an rational number

√5+√7=p/q,q≠0;p,q∈z

√5+√7=p/q

√5=p/q-√7

squaring on both sides

√5²=p²/q²+√7²-2p√7

5=  p²/q²+7-2p√7

2p√7=p²/q²+7-5

2p√7=p²/q²+2

2p√7=p²+2q/q²

√7=p²+2q/2pq

√7 is an irrational number

p²+2q/2pq  is an rational number

Hence proved