zad 2 a) √18 = √(9 * 2) = 3√2 b) √50 = √(25 * 2) = 5√2 c) √48 = √(16 * 3) = 4√3 d) √108 = √(36 * 3) = 6√3 e) √450 = √(225 * 2) = 15√2 zad 5 a) 3√2 = √(9 * 2) = √18 b) 2√3 = √(4 * 3) = √12 c) 2√6 = √(4 * 6) = √24 d) 3√7= √(9 * 7) = √63 e) 7√3 = √(49 * 3) = √147 zad 7 a) √12 * √3 = √(12 * 3) = √36 = 6 b) √32 * √8 = √(16 * 2) * √(4 * 2) = 4√2 * 2√2 = 8 * 2 = 16 c) √10 * √40 = √(10 * 40) = √400 = 20 d) √18 * √50 = √(9 * 2) * √(25 * 2) = 3√2 * 5√2 = 15 * 2 = 30 e) √28 * √63 = √(4 * 7) * √(9 * 7) = 2√7 * 3√7 = 6 * 7 = 42 f) √45 * √20 = √(9 * 5) * √(4 * 5) = 3√5 * 2√5 = 6 * 5 = 30 g) √30 * √480 = √30 * √(16 * 30) = √30 * 4√30 = 4 * 30 = 120 h) √80 * √180 = √(16 * 5) * √(36 * 5) = 4√5 * 6√5 = 24 * 5 = 120 zad 9 a) ∛32 = ∛(8 * 4) = 2∛4 b) ∛250 = ∛(125 * 2) = 5∛2 c) ∛135 = ∛(27 * 5) = 3∛5 d) ∛375 = ∛(125 * 3) = 5∛3 e) ∛108 = ∛27 * 4) = 3∛4 zad 10 a) 2∛3 = ∛(8 * 3) = ∛24 b) 3∛2 = ∛(27 * 3) = ∛81 c) 5∛2= ∛(125 * 2) = ∛250 d) 4∛5 = ∛(64 * 5) = ∛320 e) 6∛5= ∛(216 * 5) = ∛1080
