2. Rasionalkan 3√2+ √5 -------------- 3√2-√5
Answer (3)
The line from (7, 1) to (-2 10) is a radius of the circle.
Its length is the square root of [ (-2 - 7)² + (10 - 1)² ] = √(81 + 81) = √162
The equation of the circle is: **(x- 7)² + (y - 1)² = 162 **
The equation of the circle centered at (7, 1) that passes through the point (-2, 10) is given by (x - 7)² + (y - 1)² = 162. This is derived by calculating the radius using the distance formula. The final equation represents the set of all points at this distance from the center.
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Jawaban:Soal:(3√2 + √5) / (3√2 - √5)caranya:1. kalikan dengan Konjugat:- Konjugat dari penyebut (3√2 - √5) adalah (3√2 + √5).- Kalikan pembilang dan penyebut dengan konjugat:- [(3√2 + √5) / (3√2 - √5)] × [(3√2 + √5) / (3√2 + √5)]2. Sederhanakan Pembilang:- (3√2 + √5) × (3√2 + √5) = (3√2)² + 2(3√2)(√5) + (√5)²- = 9 × 2 + 6√(2×5) + 5- = 18 + 6√10 + 5- = 23 + 6√103. Sederhanakan Penyebut:- (3√2 - √5) * (3√2 + √5) = (3√2)² - (√5)²- = 9 × 2 - 5- = 18 - 5- = 134. Tulis Hasil Akhir:- (23 + 6√10) / 13Jadi, bentuk rasional dari (3√2 + √5) / (3√2 - √5) adalah (23 + 6√10) / 13
