Oblicz a) (√2-√3)* b) (3√2-√3)(3√2+√3) c) (1+√ 7)* * oznacza do kwadratu
Oblicz
a) (√2-√3)*
b) (3√2-√3)(3√2+√3)
c) (1+√ 7)*
* oznacza do kwadratu
Oblicz a) (√2-√3)²=2-2√6+3=5-2√6 b) (3√2-√3)(3√2+√3)=9*2-3=18-3=15 c) (1+√ 7)²=1+2√7+7=8+2√7
a) (√2-√3)² = (√2)² - (2 × √2 × √3) + (√3)² = 2 - 2√6 + 3 = 5 - 2√6 b) (3√2-√3)(3√2+√3) = (3√2)² - (√3)² = 18 - 3 = 15 c) (1+√7)² = 1² + (2 × 1 × √7) + (√7)² = 1 + 2√7 + 7 = 8 + 2√7