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√(a⁵b⁷c⁴) =
√(a⁴ . a . b⁶ . b c⁴) = Aplicas propiedad de la radicacion
ⁿ√aˣ = aˣ/ⁿ
a⁴/² . b⁶/² . c⁴/² √ab =
a².b³.c².√ab
∛(a¹⁶ . b⁴. c²⁷) =
∛(a¹⁵ . a . b³ . b . c²⁷) =
a¹⁵/³ . b³/³ . c²⁷/³∛ab =
a⁵.b.c⁹.∛ab
√9 * √14 =
√3²√14 =
3²/²√14 =
3√14
√a² * √a² =
(√a²)² =
a²
√a⁵ . ∛b² * ⁵√c³ = Hallas el mcm de los indice de los radicales
2 * 3 * 5 = 30
³⁰√(a⁵)¹⁵ . ³⁰√(b²)¹⁰ . ³⁰√(c³)⁶ =
³⁰√a⁷⁵. ³⁰√b²⁰ . ³⁰√c¹⁸ = Aplicas √a * √b * √c = √(a*b* c)
³⁰√(a⁷⁵ . b²⁰. c¹⁸) =
³⁰√((a⁶⁰. a¹⁵). b²⁰ . c¹⁸) =
a⁶⁰/³⁰ * ³⁰√a¹⁵.b²⁰.c¹⁸ =
a² . ³⁰√(a¹⁵ .b²⁰. c¹⁸)