rasionalkanlah 1 + 1/√2 + 1/ 1-√2
Answer (3)
The Congress of Vienna was held in order for the powers of Europe to settle territories and boundaries after the fall of Napoleon's Empire in the early 1800's. The conservatives such as Austria and Prussia were quite dominant during the Congress. Their goal was to set some sort of legitimacy in the system that rules Europe, and to balance out power in the continent. France was quite vulnerable and unstable due to its background. However, instability of government was also the case for other European countries. The reason why the conservatives had their goals, is because the liberalism incited by the French Revolution has been consistent with manifesting that it has failed to keep a government's stability. Therefore, it was actually the conservatives who were successful during the Congress, as they were able to achieve their goal of keeping Europe peaceful for about a century.
The conservatives were the group that achieved their goals at the Congress of Vienna, as they successfully reinstated monarchies and established a conservative order in Europe. This led to a period of relative peace for several decades. Thus, the correct answer is B. Conservatists.
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Jawaban:Untuk merasionalkan ekspresi 1 + 1/√2 + 1/(1-√2), pertama-tama Anda harus merasionalkan setiap bagian yang mengandung akar kuadrat, kemudian menjumlahkannya untuk mendapatkan hasil akhir (-1 - 2√2) / 2.Berikut adalah langkah-langkah perhitungannya:1. Rasionalkan 1/√2:Kalikan pembilang dan penyebut dengan √2: (1 * √2) / (√2 * √2) = √2 / 2.2. Rasionalkan 1/(1-√2):Kalikan pembilang dan penyebut dengan sekawannya, yaitu (1+√2): [1 * (1+√2)] / [(1-√2) * (1+√2)].Gunakan rumus (a-b)(a+b) = a² - b² pada penyebut: (1+√2) / (1² - (√2)²).Hitung penyebutnya: (1+√2) / (1 - 2) = (1+√2) / -1 = -1 - √2.3. Jumlahkan ketiga bagian tersebut:1 + (√2 / 2) + (-1 - √2).Pertama, hilangkan angka 1: √2 / 2 - √2.Samakan penyebutnya: (√2 / 2) - (2√2 / 2).Gabungkan: (√2 - 2√2) / 2 = -√2 / 2.4. Gabungkan hasil dari langkah 1 dan langkah 3:1 + (√2 / 2) + (-1 - √2) = (-1 - √2) + (√2 / 2).Samakan penyebut: (-2 - 2√2) / 2 + √2 / 2.Gabungkan menjadi: (-2 - 2√2 + √2) / 2.Sederhanakan: (-2 - √2) / 2 atau -1 - √2/2.5. Namun, jika yang dimaksud adalah operasi penjumlahan seluruhnya:1 + 1/√2 + 1/(1-√2)1 + (√2/2) + (-1 - √2)1 + √2/2 - 1 - √2√2/2 - √2(√2 - 2√2)/2-√2/2Hasil Akhir yang Benar (jika 1 + (1/√2 + 1/(1-√2))):Untuk mendapatkan hasil akhir yang paling tepat, kita harus menghitung seluruh ekspresi:1 + 1/√2 + 1/(1-√2)Rasionalkan bagian 1/√2 menjadi √2/2.Rasionalkan bagian 1/(1-√2) menjadi -1 - √2.Jumlahkan semua: 1 + (√2/2) + (-1 - √2).Hilangkan angka 1: √2/2 - √2.Samakan penyebutnya: (√2 - 2√2)/2.Hasilnya adalah -√2/2.
