carilah bentuk yg paling sederhana! 1. (2√3 - 3√2) (4√6 + 3√10) 2. (3√5 - 3√6) (4√5 + 4√6) 3. (2√7 - 4√8) (3√6 - 3√3) 4. (3√3 - 4√5) (3√3 - 4√5) 5. (5√12 - 6

1.
[tex] = (2 \sqrt{3} - 3 \sqrt{2} )(4 \sqrt{6} + 3 \sqrt{10} ) \\ = 8 \sqrt{18} + 6 \sqrt{30} - 12 \sqrt{12} - 9 \sqrt{20} \\ = 24 \sqrt{2} + 6 \sqrt{30} - 24 \sqrt{2} - 18 \sqrt{5} \\ = 6 \sqrt{30} - 18 \sqrt{5} [/tex]
2.
[tex] = (3 \sqrt{5} - 3 \sqrt{6} )(4 \sqrt{5} + 4 \sqrt{6} ) \\ = 60 + 12 \sqrt{30} - 12 \sqrt{ 30} - 72 \\ = 60 - 72 \\ = - 12[/tex]
3.
[tex] = (2 \sqrt{7} - 4 \sqrt{8} )(3 \sqrt{6} - 3 \sqrt{3} ) \\ = 6 \sqrt{42} - 6 \sqrt{21} - 12 \sqrt{48} + 12 \sqrt{24} \\ = 6 \sqrt{42} - 6 \sqrt{21} - 48 \sqrt{3} + 24 \sqrt{6} \\ = 6( \sqrt{42} - \sqrt{21} ) - 48 \sqrt{3} + 24 \sqrt{6} [/tex]
4.
[tex] = (3 \sqrt{3} - 4 \sqrt{5} )(3 \sqrt{3} - 4 \sqrt{5} ) \\ = 27 - 12 \sqrt{15} - 12 \sqrt{15} + 80 \\ = 107 - 24 \sqrt{15} [/tex]

[tex]1. \: (2 \sqrt{3} - 3 \sqrt{2} )(4 \sqrt{6} + 3 \sqrt{10} ) \\ = 8 \sqrt{18} + 6 \sqrt{30} - 12 \sqrt{12} - 9 \sqrt{20} \\ = 24 \sqrt{2} + 6 \sqrt{30} - 24 \sqrt{3} - 18 \sqrt{5} \\ = 24 \sqrt{2} - 24 \sqrt{3} + 6 \sqrt{30} - 18 \sqrt{5} \\ = 24( \sqrt{2} - \sqrt{3} ) + 6( \sqrt{30} - 3 \sqrt{5} ) \\
2. ( 3 \sqrt{5} - 3 \sqrt{6} )(4 \sqrt{5} + 4 \sqrt{6} ) \\ = 60 + 12 \sqrt{30} - 12\sqrt{30} - 72 \\ = 60 - 72 \\ = - 12 \\
3. \: (2 \sqrt{7} - 4 \sqrt{8} )(3 \sqrt{6} - 3 \sqrt{3} ) \\ = 6 \sqrt{42} - 6 \sqrt{21} - 12 \sqrt{48} + 12 \sqrt{24} \\ =6( \sqrt{42} - \sqrt{21} ) - 12( \sqrt{48} - \sqrt{24} )[/tex]
[tex]4. \: (3 \sqrt{3} - 4 \sqrt{5} )(3 \sqrt{3} - 4 \sqrt{5} ) \\ = 27 - 12 \sqrt{20} - 12 \sqrt{15} + 80 \\ =107- 24 \sqrt{15} \\
5. \: (5 \sqrt{12} - 6 \sqrt{24} )(3 \sqrt{8} - 5 \sqrt{30} ) \\ = 15 \sqrt{96} - 25 \sqrt{360} - 18 \sqrt{192} + 30 \sqrt{720} \\ = 15 \sqrt{96} - 18\sqrt{192} - 25 \sqrt{360} + 30 \sqrt{720} \\ = \sqrt{96} \: (15 -18 \sqrt{2} ) - \sqrt{360} \: (25 - 30 \sqrt{2} )[/tex]