Question

192 a raiz de 5?
(com cálculos)

Answer 1

[192^(\/5)]² = x²
x² = 192^(\/5²)
x² = 192^5
x = \/(192)^5
192|2
096|2
048|2
024|2
012|2
006|2
003|3
001

x = \/(192)^4 . \/192
x = 192² . \/192
x = 192² . 192¹/²
x = 192^(2+1/2)
x = 192^(3/2)
x = \/(192)³
x = \/(192)² . \/192
x = 192\/192
x = 192 \/(2^6) . \/3
x = 192 . 2³ . \/3
x = 192 . 8 . 3
x = 192 . 24
x = 4608


192|2
096|2
048|2
024|2
012|2
006|2
003|3
001
192 = 2^6 . 3