Prove that "root 2 + root 3" is an irrational number

1.	Prove that "root 2 + root 3" is an irrational number
Answer» solve for both differentlylet root 2 in the form (a/b) where a and b are coprimeroot2= a/bsquaring both sides2=a square/b squarenow cross multiplywe get 2bsquare=a [email\xa0protected]=>2 devides a square=>2 devides atherefore [email\xa0protected]solving @1 and @2 we get2b square=(2p)square2b square=4( p square)this impliseb square =2* p squaretherfore a and b have a common factor 2therefore it contradictshence root3 is an irrational no.solve similarly for root2 or simply writeany no. added to irrational no. is irrational It is in R.D.Sharma I have searched..its not there in RS AGGARWAL Is it there in RS..?? See in RS agarwal

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