tolong bantu ya kk²(pelajaran SMA)
Answer (1)
Jawaban:soalRasionalkan penyebut dari ekspresi berikut:1. 8 / √22. 6√3 / 7√63. 8 / (√5 - √3)4. 12√3 / (2√3 - 2√2)5. (8 - √3) / (3√2 + √10)6. 12√3 / (√6 + 2) caranya:1. 8 / √2 = (8 / √2) × (√2 / √2) = 8√2 / 2 = 4√22. 6√3 / 7√6 = (6√3 / 7√6) × (√6 / √6) = 6√18 / (7 × 6) = 6 × 3√2 / 42 = 18√2 / 42 = 3√2 / 73. 8 / (√5 - √3) = (8 / (√5 - √3)) × ((√5 + √3) / (√5 + √3)) = 8(√5 + √3) / (5 - 3) = 8(√5 + √3) / 2 = 4(√5 + √3)4. 12√3 / (2√3 - 2√2) = (12√3 / (2√3 - 2√2)) × ((2√3 + 2√2) / (2√3 + 2√2)) = 24√9 + 24√6 / (12 - 8) = 72 + 24√6 / 4 = 18 + 6√65. (8 - √3) / (3√2 + √10) = ((8 - √3) / (3√2 + √10)) × ((3√2 - √10) / (3√2 - √10)) = (24√2 - 8√10 - 3√6 + √30) / (18 - 10) = (24√2 - 8√10 - 3√6 + √30) / 86. 12√3 / (√6 + 2) = (12√3 / (√6 + 2)) × ((√6 - 2) / (√6 - 2)) = (12√18 - 24√3) / (6 - 4) = (12 × 3√2 - 24√3) / 2 = (36√2 - 24√3) / 2 = 18√2 - 12√3 maka, setelah dirasionalkan, hasilnya yaitu: 1. 4√22. 3√2 / 73. 4(√5 + √3)4. 18 + 6√65. (24√2 - 8√10 - 3√6 + √30) / 86. 18√2 - 12√3
