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2014-04-15T23:22:50+02:00
Ex.3 1. I² = (3+√11)² = 9+11=20 J²=(3-√11)²=9-11=-2 2. I×J = (3+√11)(3-√11) = 9-3√11+3√11-11 =9-11 = -2 3. I²+J² =(3+√11)²-(3-√11)² =(9+6√11+11)-(9-6√11+11) =9+6√11+11-9+6√11-11 =12√11 4. oui ; (a+b)(a-b) (3+√11)(3-√11) = 3²-√11² = 9-11 = -2