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In Matematika / Sekolah Menengah Atas | 2025-08-14

tolong saya bang no 8 dan 11 kalau bisa di tulis di kertas!terimakasih : )​

Asked by bimajayantodios

Answer (1)

Jawab:Penjelasan dengan langkah-langkah:Jawaban nomor 8 :[tex]x=4-\sqrt7[/tex][tex]y=4+\sqrt7[/tex].[tex]\begin{aligned} x^2 - y^2 + 2xy &=(x+y)(x-y) +2(xy)\\ &=((4-\sqrt7)+(4+\sqrt7))((4-\sqrt7)-(4+\sqrt7)) + 2(4-\sqrt7)(4+\sqrt7) \\ &=(8)(-2\sqrt7)) + 2(4^2 - \sqrt{7^2}) \\ &= -16\sqrt7 + 2(16 - 7) \\ &= -16\sqrt7 + 18 \\ &= 18 - 16\sqrt7 \:\:\: (\text{E})\end{aligned}[/tex].Jawaban nomor 11 :[tex]\begin{aligned} \frac{\sqrt{48} -2\sqrt{18} +\sqrt{75} + 4\sqrt{50}-\sqrt{27}}{\sqrt{125} + 2\sqrt{169} + \sqrt{45} -4\sqrt{20} -\sqrt{576}} &= \frac{\sqrt{3.4^2} -2\sqrt{2.3^2} +\sqrt{3.5^2} + 4\sqrt{2.5^2}-\sqrt{3.3^2}}{\sqrt{5.5^2} + 2\sqrt{13^2} + \sqrt{5.3^2} -4\sqrt{5.2^2} -\sqrt{24^2}} \\ &= \frac{4\sqrt{3} -6\sqrt{2} +5\sqrt{3} + 20\sqrt{2}-3\sqrt{3}}{5\sqrt{5} + 26 + 3\sqrt{5} -8\sqrt{5} -24} \\ &= \frac{6\sqrt3 + 14\sqrt2}{2} \\ &=3\sqrt3 + 7\sqrt2 \:\:\: (\text{E}) \end{aligned}[/tex]Never let bro cook again ^v^

Answered by LyridsssAnonym | 2025-08-14