Wykaż że liczba jest liczbą całkowitą.
1 1 (√2 + 1) √2 + 1
--------- - √2 = -------------------- - √2 = --------- - √2 =√2 + 1 - √2 = 1 -- liczba całkowita
(√2 - 1) (√2 - 1) (√2 + 1) 2 - 1
--------- - √2 = -------------------- - √2 = --------- - √2 = √2 + 1 - √2 = 1
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1 1 (√2 + 1) √2 + 1
--------- - √2 = -------------------- - √2 = --------- - √2 =√2 + 1 - √2 = 1 -- liczba całkowita
(√2 - 1) (√2 - 1) (√2 + 1) 2 - 1
1 1 (√2 + 1) √2 + 1
--------- - √2 = -------------------- - √2 = --------- - √2 = √2 + 1 - √2 = 1
(√2 - 1) (√2 - 1) (√2 + 1) 2 - 1