Сокращение дробей

• \frac{√35 - √15}{√14 - √6} = \frac{√(5×7) - √(5×3)}{√(2×7) - √(2×3)} = \frac{√5(√7 - √3)}{√2(√7 - √3)} = \frac{√5}{√2} = \frac{√5 × √2}{√2 × √2} = \frac{√10}{2}
• \frac{a - 9}{√a + 3} = \frac{(√a)² - 3²}{√a + 3} = \frac{(√a - 3)(√a + 3)}{√a + 3} = √a - 3
• \frac{x - 2√{xy} + y}{x - y} = \frac{(√x)² - 2√x√y + (√y)²}{(√x)² - (√y)²} = \frac{(√x - √y)²}{(√x - √y)(√x + √y)} = \frac{√x - √y}{√x + √y}