Wyłącz czynnik przed znak pierwiastka a) √50 √28 √72 √200 √1800 b) 3^√16 3^√24 3^√-128 3^√3000
Wyłącz czynnik przed znak pierwiastka
a)
√50
√28
√72
√200
√1800
b)
3^√16
3^√24
3^√-128
3^√3000
a) √50 = √[25 * 2] = 5√2 √28 = √[4*7] = 2√7 √72 = √[36*2] = 6√2 √200 = √[100*2] = 10√2 √1800 = √[900*2] = 30√2 b) ∛16 = ∛[8*2] = 2∛2 ∛24 = ∛[8*3] = 2∛3 ∛-128 = ∛[-64 * 2] = -4∛2 ∛3000 = ∛[1000*3] = 10∛3
a) √50 = √25 * 2 = 5√2 √28 = √4 * 7 = 2√7 √72 = √9 * 2 * 4 = 6√2 √200 = √25 * 2 * 4 = 10√2 √1800 = √2 * 900 = 300√2 b) 3^√16 = 12 3^√24 = 3√4 * 6 = 6√6 3^√-128 = 3√4 * 4 * 4 * 2 = 36√2 3^√3000 = 3√100 * 30 = 30√30