doprowadz do najprostszej postaci wyrazenie :
(√7 - 5 √3 )( 2 √7 + √3 )=
(√3 + 2 √2 ) ( 3 √2 - 4 √3)=
(√7 - 5 √3 )( 2 √7 + √3 )= 2\sqrt{49}+\sqrt{21}-10\sqrt{21}-5\sqrt{9}==2*7+\sqrt{21}-10\sqrt{21}-5*3=14-9\sqrt{21}-15=-1-9\sqrt{21}
(√3 + 2 √2 ) ( 3 √2 - 4 √3)= 3 \sqrt{6}-4\sqrt{9}+6\sqrt{4}-8\sqrt{6}=
-5\sqrt{6}-4*3+6*2= -5\sqrt{6}-12+12=-5\sqrt{6}
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(√7 - 5 √3 )( 2 √7 + √3 )= 2\sqrt{49}+\sqrt{21}-10\sqrt{21}-5\sqrt{9}=
=2*7+\sqrt{21}-10\sqrt{21}-5*3=14-9\sqrt{21}-15=-1-9\sqrt{21}
(√3 + 2 √2 ) ( 3 √2 - 4 √3)= 3 \sqrt{6}-4\sqrt{9}+6\sqrt{4}-8\sqrt{6}=
-5\sqrt{6}-4*3+6*2= -5\sqrt{6}-12+12=-5\sqrt{6}