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marie3178
@marie3178
April 2022
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bjr, pouvez-vous m'aider svp
soit a = √5 - √2 et b = 5 + √2
1. calculer a^2 et b^2
2. en déduire les valeurs de a^2+ b^2 et √a^2 + √b^2
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jpmorin3
bonjour a = √5 - √2 et b = 5 + √21)calculer a² et b²a² = (√5 - √2) [(a - b)² = ....] = (√5)² - 2√5√2 + (√2)² = 5 - 2√10 + 2 = 7 - 2√10 b² = (5 + √2)² = 5² + 2 x 5√2 + (√2)² = 25 + 10√2 + 2 = 27 + 10√2 2)en déduire les valeurs de a^2+ b^2 et √a^2 + √b^2a² + b² = 7 - 2√10 + 27 + 10√2 = 34 -2√10 + 10√2√(a²) + √(b²) = |√5 - √2| + |5 + √2| [ √5 - √2> 0 et 5 + √2> 0] = √5 - √2 + 5 + √2 = 5 + √5
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