Задачі і вправи для повторення » 33

33. Спростіть вираз: 1) (√12- √27)/(√15- √3) = (√3(√4- √9))/(√3(√5- 1)) = (2-3)/(√5- 1) = –1/(√5-1). 2) (√25+ 2)/(√7+ 1) = (2√7+ 2)/(√7+ 1) = (2(√7+ 1))/(√7+ 1) = 2; 3) 〖√3〗^(\√3-√2)/(√3+ √2) – 〖√2〗^(\√3+√2)/(√3- √2) = (3- √6- √6- 2)/((√3+ √2)(√3- √2)) = (1-2√6)/(3-2) = 1 – 2√6; 4) (√7+ 2^(\√7+2))/(√7- 2) – (√7- 2^(\√7-2))/(√7+ 2) = (7+4√7+ 4-(7-4√7+ 4))/((√7- 2)(√7+ 2)) = (7+4√7+ 4-7+4√7- 4)/((√7- 2)(√7+ 2)) = (8√7)/(7-4) = (8√7)/3.