Matematika

Pertanyaan

Tolong kerjakan pakai cara
Tolong kerjakan pakai cara

1 Jawaban


  • [tex]1. \: ( \sqrt{3} + \sqrt{5} ) {}^{2} = ( \sqrt{3} + \sqrt{5} )( \sqrt{3} + \sqrt{5} ) = 3 + \sqrt{15} + \sqrt{15} + 5 = 8 + 2 \sqrt{15} \\ 2. \: (3 \sqrt{2} + \sqrt{6} ) {}^{2} = (3 \sqrt{2} + \sqrt{6} ) (3 \sqrt{2} + \sqrt{6} ) = 18 + 6 \sqrt{3} + 6 \sqrt{3} + 6 = 24 + 12 \sqrt{3} \\ 3. \: ( \sqrt{5} - \sqrt{3} ) {}^{2} = ( \sqrt{5} - \sqrt{3}) ( \sqrt{5} - \sqrt{3} ) = 5 - \sqrt{15} - \sqrt{15} + 3 = 8 - 2 \sqrt{15} \\ 4. \: (2 \sqrt{5} - 3 \sqrt{6} ) {}^{2} = (2 \sqrt{5} - 3 \sqrt{6}) (2 \sqrt{5} - 3 \sqrt{6} ) = 20 - 6 \sqrt{30} - 6 \sqrt{30} + 54 = 74 - 12 \sqrt{30} [/tex]