jika x=2 √3 dan y=3-√2 maka x² + y²-2xy nilainya
Matematika
sri594
Pertanyaan
jika x=2 √3 dan y=3-√2 maka x² + y²-2xy nilainya
1 Jawaban
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1. Jawaban ShanedizzySukardi
Materi Bentuk Akar [tex] x^2 + y^2 - 2xy = (x - y)^2 \\ = (2 \sqrt{3} - (3 - \sqrt{2})^2 \\ = (2 \sqrt{3} +\sqrt{2} +3)^2 \\ = 4(3) + (2) + 9 + (2)2\sqrt{6} +(2)6\sqrt{3} + (2)3\sqrt{2} \\ = \boxed{23 + 4\sqrt{6} + 12 \sqrt{3} + 6 \sqrt{2}} [/tex]