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- 2 months ago
Rationalize the denominators

2 * (5 + 3i) / ((5 - 3i) * (5 + 3i)) + 4 * (5 - 3i) / ((5 + 3i) * (5 - 3i)) =>

2 * (5 + 3i) / (25 - 9i^2) + 4 * (5 - 3i) / (25 - 9i^2) =>

(10 + 6i) / (25 + 9) + (20 - 12i) / (25 + 9) =>

(10 + 6i) / 34 + (20 - 12i) / 34 =>

(10 + 6i + 20 - 12i) / 34 =>

(30 - 6i) / 34 =>

(15 - 3i) / 17

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