Lief Z

29 Agustus 2023 01:23

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Lief Z

29 Agustus 2023 01:23

Pertanyaan

Bentuk sederhana dari : 2√8 + √18 +1/4√32+√200

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29 Agustus 2023 01:42

Jawaban terverifikasi

<p>2√8 + √18 + 1/4√32 + √200 = 2(√4√2) + (√9√2 ) + 1/4(√16√2) + (√100√2)&nbsp;</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; = 2(2√2) + (3√2 ) + 1/4(4√2) + (10√2)&nbsp;</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; = 4√2 + 3√2 + √2 + 10√2</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; = (4 + 3 + 1 + 10)√2</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; = 18√2</p>

2√8 + √18 + 1/4√32 + √200 = 2(√4√2) + (√9√2 ) + 1/4(√16√2) + (√100√2) 

                                                        = 2(2√2) + (3√2 ) + 1/4(4√2) + (10√2) 

                                                        = 4√2 + 3√2 + √2 + 10√2

                                                        = (4 + 3 + 1 + 10)√2

                                                        = 18√2


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Maisya N

29 Agustus 2023 01:57

Haloo aku bantu jawab yaaa. Soal : 2√8 + √18 + 1/4√32 + √200 Pembahasan : - Sederhanakan dulu pecahan 1/4√32 1/4√32 = 1/4√16×2 = 1/4×4√2 = 1/16√2 - Rasionalkan 1/16√2 × √2/√2 = √2/16 × 2 = √2/32 - Samakan bentuk akar 2√8 + √18 + √2/32 + √200 = 2√4×2 + √9×2 + √2/32 + √100×2 = 2×2√2 + 3√2 + √2/32 + 10√2 = 4√2 + 3√2 + √2/32 + 10√2 - Samakan penyebut menjadi ../32 = (32×4√2 / 32) + (32×3√2 /32) + (√2/32) + (32×10√2 /32) = (128√2 / 32) + (96√2 / 32) + (√2/32) + (320√2 / 32) - Lalu gabungkan = (128 + 96 + 1 + 320)√2 /32 = 545√2 / 32 Jadi, jawabannya adalah 545√2 / 32. Semoga membantu^^


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