8 a 34 = 81 b 8 c –3 9 a b 64 = 1296 10 11 a = 7, b = –1 12 6√2 13 a x = 0.5454.. , 100x = 54.5454.., 99x = 54 x = , cancel by 9 b 0.35454.. = 0.3 + 0.05454.. = = 14 15 a 9 b 5√2 16 a b 2 17 a i = = × = 4√2 √32 √16×2 √16 √2 ii 14 + 4√6 b 22 + (2 + = 4 + 4 + 6 + 4√6 = 14 + 4√6 = √6)2 (√2 + so the obey Pythagoras’ √12)2 theorem 18 a = 5.20m √27 b Cube side 2.95 m has diagonal 5.07 m. Max length pole is 5.005 m so it will fit round the corner.
8 a 34 = 81 b 8 c –3 9 a b 64 = 1296 10 11 a = 7, b = –1 12 6√2 13 a x = 0.5454.. , 100x = 54.5454.., 99x = 54 x = , cancel by 9 b 0.35454.. = 0.3 + 0.05454.. = = 14 15 a 9 b 5√2 16 a b 2 17 a i √32 = √16×2 = √16 × √2 = 4√2 ii 14 + 4√6 b 22 + (2 + √6)2 = 4 + 4 + 6 + 4√6 = 14 + 4√6 = (√2 + √12)2 so the obey Pythagoras’ theorem 18 a √27 = 5.20m b Cube side 2.95 m has diagonal 5.07 m. Max length pole is 5.005 m so it will fit round the corner.
chapter_16_-_indices___surds.docx