Answer :
( 9 - [tex] \sqrt{10} )/( 7 - \sqrt{6}) = ( 9 - \sqrt{10})(7 + \sqrt{6} ) / ( 7 - \sqrt{6} )( 7 + \sqrt{6} ) = [/tex][tex]( 63 + 9 \sqrt{6} - 7 \sqrt{10} - 2 \sqrt{15} ) / ( 49 - 6 ) = ( 63 + 9 \sqrt{6} - 7 \sqrt{10} - 2 \sqrt{15} ) / 43[/tex]
