Proszę o rozwiazanie:
(a + b)² = a² + 2 * a * b + b²
......... =( √(3 + √5) )² + 2 * √(3 + √5) * √(3 - √5) + (√(3 - √5) )² =
3 + √5 + 2 * √[(3 + √5)*(3 - √5)] + 3 - √5 = 6 + 2 * √(3² - √5²) =
6 + 2 * √( 9 - 5) = 6 + 2 * √4 = 6 + 2 * 2 = 6 + 4 = 10
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(a + b)² = a² + 2 * a * b + b²
......... =( √(3 + √5) )² + 2 * √(3 + √5) * √(3 - √5) + (√(3 - √5) )² =
3 + √5 + 2 * √[(3 + √5)*(3 - √5)] + 3 - √5 = 6 + 2 * √(3² - √5²) =
6 + 2 * √( 9 - 5) = 6 + 2 * √4 = 6 + 2 * 2 = 6 + 4 = 10