5+2 root5 upon 7+4 root 3
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answer is 35-28root3+14root5
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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 !
( 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
our question is we have to solve this value ( 5 + 2√5 )/ ( 7 +4√3 ) so lets us solve :-)
---------------------------------------------------------------------------------------------------------
( 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
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