Question

let a,b,c and d be positive rationals such that a+√b=c+√d,then prove that either a=c and b=d or b and d are square of rationals

Answer 1

First ,when a=c, and next when a>c so some constant k is added to c to make equal to a i.e a=c+k.
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Answer 2

Answer :

Refer to the attached image for complete solution of your question.