{"paper":{"id":"site-6843","subject":"matematyka","category":"zbiory","year":0,"month":null,"level":null,"variant":null,"exam_pdf":null,"key_pdf":null,"question_count":2,"source_label":"Matematyka · Zbiory zadań","subject_label":"Matematyka","category_label":"Zbiory zadań"},"questions":[{"id":"site-6843/zad/6858","paper_id":"site-6843","number":"6858","points":null,"ptype":"open","subject":"matematyka","category":"zbiory","year":0,"month":null,"level":null,"text":"Rozważmy takie liczby rzeczywiste a i b, które spełniają warunki: a≠0 oraz b≠0 oraz a√2 + b√3 = 0. Oblicz wartość liczbową wyrażenia a/b + b/a dla dowolnych liczb rzeczywistych a i b, spełniających powyższe warunki. Wynik podaj w postaci ułamka bez niewymierności w mianowniku.","answer":null,"answer_text":null,"solution":null,"image":"img/site/6843/zad-6858.svg","solution_image":"img/site/6843/rozw-6858.svg","topics":null,"page_from":null,"source":"site","answer_source":null,"answer_text_source":null,"solution_source":null,"text_source":"site","source_label":"Matematyka · Zbiory zadań","subject_label":"Matematyka","category_label":"Zbiory zadań"},{"id":"site-6843/zad/6860","paper_id":"site-6843","number":"6860","points":null,"ptype":"open","subject":"matematyka","category":"zbiory","year":0,"month":null,"level":null,"text":"Która z podanych równości A-D jest prawdziwa? A. (√7+√5)³ = √(7^3) + √(5^3) B. √(√144 + √16) = 2^4/2 C. (√2{1/4})³ = 2^3/2 + (1/2)³ D. (∛64)^1/8 = 8^3.","answer":null,"answer_text":null,"solution":null,"image":"img/site/6843/zad-6860.svg","solution_image":"img/site/6843/rozw-6860.svg","topics":null,"page_from":null,"source":"site","answer_source":null,"answer_text_source":null,"solution_source":null,"text_source":"site","source_label":"Matematyka · Zbiory zadań","subject_label":"Matematyka","category_label":"Zbiory zadań"}]}