Zadanie 1 (1 i jedna/ trzecia ) do kwadratu - pierwiastek 1 i 9 /16 = = (4/3)² - √25/16 = = 16/9 - 5/4 = = 64/36 - 45/36 = = 19/36 19/36 ---- 38% x ---------- 100% x = 19/36 * 100% / 38% x = 475/9 / 38% x = 475/9 * 1/38% x = 19/18 x = 1 i 1/18 ======================================== Zadanie 2 2 *(5 1/16 +3 1/16) = = 2 * (81/16 + 49/16) = = 2 * 130/16 = = 2 * 8 i 2/16 = = 2 * 8 i 1/8 = = 2 * 65/8 = = 65/4 = = 16 i 1/4 = 16,25 pierwiastek 81* PIERWIASTEK 16 = = 9 * 4 = = 36 36 ------ 100% 16,25 -- x% x = 16,25 * 100% / 36 x = 1625/36% x = 45,13(8)%
(1⅓)² - √(1 ⁹/₁₆) = (⁴/₃)² - √(²⁵/₁₆) = ¹⁶/₉ - ⁵/₄ = ⁶⁴/₃₆ - ⁴⁵/₃₆ = ¹⁹/₃₆ 19/36 ----- 38% x ---------- 100% x = 19/36 * 100/38 x = 475/9 / 38 x = 475/9 * 1/38 x = 19/18 x = 1 i ¹/₁₈ Zadanie 2. 2 *(5 1/16 +3 1/16) = 2*(8 ²/₁₆) = 16 ⁴/₁₆ = 16¹/₄ = 16,25 √81*√16 = 9*4 = 36 36 / 16,25 *100% ≈ 221,5%