Question

√m+√n is irrational,where m,n are primes​

Answer 1

Answer:

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Answer 2

let us assume √m+√n is an rational number

the rational numbers had p/q,q≠0, p,q∈z  

√m+√n=p/q

√m=p/q-√n

squaring on both sides

√m²=p²/q²+√n²-2p√n/q

m2p√n/q=p²/q²+n

2p√n/q =p²/q²+n-m

√n=p²+n-mq/q²

where √n is an irrational number

p²+n-mq/q² is an rational number

the irrational number is never equals to rational number

√m+√n an  irrational number

Hence proved