Question

5+2 root5 upon 7+4 root 3

Answer 1

answer is 35-28root3+14root5

Answer 2

HELLO FRIEND :-) 

our question is  we have to solve this value ( 5 + 2√5 )/  ( 7 +4√3 ) so lets us solve :-)
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 ( 5 + 2√5 )/  ( 7 +4√3 ) 

now we will do rationalization to solve our question easily now i will tell you what is rationalization ! 

To rationalize this kind of monomial, bring in the factor  as   ( x+y)/( y+z ) we can change it to  ( x+y ) (y-z)/ (y+z) (y-z)  so that it can reduce :-)  

Now you can understand what i will do here :-) 

( 5 + 2√5 ) ( 7-4√3 ) / ( 7+4√3) ( 7-4√3 ) 

now we know that (a+b) (a-b) => a²-b² and our denominator is in that form 

so  ( 5 + 2√5 ) ( 7-4√3 ) / ( 49 - 48 )  = >  35  - 20√3 + 14√15 - 8√15 -24 =>

11-6√3   so friend this is our answer :-) 

HOPE THIS HELPS YOU !

@ engineer gopal