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- https://espanol.libretexts.org/Matematicas/Algebra/Algebra_elemental_(Ellis_y_Burzynski)/09%3A_Raices_Radicales_y_Ecuaciones_de_Raiz_Cuadrada/9.06%3A_Suma_y_resta_de_expresiones_de_raiz_cuadrada5a\ sqrt {24a^3} - 7\ sqrt {54a^5} + a^2\ sqrt {6a} + 6a &= 5a\ sqrt {4\ cdot 6\ cdot a^2\ cdot a} - 7\ sqrt {9\ cdot 6\ cdot a^4\ cdot a} + a^2\ sqrt {6a} + 6a\\ \ dfrac {3+\ sqrt {8}} {3-\ sqrt {8}}...5a\ sqrt {24a^3} - 7\ sqrt {54a^5} + a^2\ sqrt {6a} + 6a &= 5a\ sqrt {4\ cdot 6\ cdot a^2\ cdot a} - 7\ sqrt {9\ cdot 6\ cdot a^4\ cdot a} + a^2\ sqrt {6a} + 6a\\ \ dfrac {3+\ sqrt {8}} {3-\ sqrt {8}}\ cdot\ frac {3+\ sqrt {8}} {3+\ sqrt {8}} &=\ dfrac {(3+\ sqrt {8}) (3+\ sqrt {8})} {3^ {2} - (\ sqrt {8})} {3^ {2} - (\ sqrt {8}) ^ {2}}\\ \ dfrac {2+\ sqrt {7}} {4-\ sqrt {3}}\ cdot\ dfrac {4+\ sqrt {3}} {4+\ sqrt {3}} &=\ dfrac {(2+\ sqrt {7}) (4+\ sqrt {3})} {4^ {2} - (\ sqrt {3}) ^ {2}}\\
- https://espanol.libretexts.org/Matematicas/Aritmetica_y_Matematicas_Basicas/HiSet_Matematicas/23%3A_Raices_Radicales_y_Ecuaciones_de_Raiz_Cuadrada/23.06%3A_Suma_y_resta_de_expresiones_de_raiz_cuadrada5a\ sqrt {24a^3} - 7\ sqrt {54a^5} + a^2\ sqrt {6a} + 6a &= 5a\ sqrt {4\ cdot 6\ cdot a^2\ cdot a} - 7\ sqrt {9\ cdot 6\ cdot a^4\ cdot a} + a^2\ sqrt {6a} + 6a\\ \ dfrac {3+\ sqrt {8}} {3-\ sqrt {8}}...5a\ sqrt {24a^3} - 7\ sqrt {54a^5} + a^2\ sqrt {6a} + 6a &= 5a\ sqrt {4\ cdot 6\ cdot a^2\ cdot a} - 7\ sqrt {9\ cdot 6\ cdot a^4\ cdot a} + a^2\ sqrt {6a} + 6a\\ \ dfrac {3+\ sqrt {8}} {3-\ sqrt {8}}\ cdot\ frac {3+\ sqrt {8}} {3+\ sqrt {8}} &=\ dfrac {(3+\ sqrt {8}) (3+\ sqrt {8})} {3^ {2} - (\ sqrt {8})} {3^ {2} - (\ sqrt {8}) ^ {2}}\\ \ dfrac {2+\ sqrt {7}} {4-\ sqrt {3}}\ cdot\ dfrac {4+\ sqrt {3}} {4+\ sqrt {3}} &=\ dfrac {(2+\ sqrt {7}) (4+\ sqrt {3})} {4^ {2} - (\ sqrt {3}) ^ {2}}\\
- https://espanol.libretexts.org/Matematicas/Aritmetica_y_Matematicas_Basicas/HiSet_Mathematicas_Saul_Lopez/23%3A_Raices_Radicales_y_Ecuaciones_de_Raiz_Cuadrada/23.06%3A_Suma_y_resta_de_expresiones_de_raiz_cuadrada5a\ sqrt {24a^3} - 7\ sqrt {54a^5} + a^2\ sqrt {6a} + 6a &= 5a\ sqrt {4\ cdot 6\ cdot a^2\ cdot a} - 7\ sqrt {9\ cdot 6\ cdot a^4\ cdot a} + a^2\ sqrt {6a} + 6a\\ \ dfrac {3+\ sqrt {8}} {3-\ sqrt {8}}...5a\ sqrt {24a^3} - 7\ sqrt {54a^5} + a^2\ sqrt {6a} + 6a &= 5a\ sqrt {4\ cdot 6\ cdot a^2\ cdot a} - 7\ sqrt {9\ cdot 6\ cdot a^4\ cdot a} + a^2\ sqrt {6a} + 6a\\ \ dfrac {3+\ sqrt {8}} {3-\ sqrt {8}}\ cdot\ frac {3+\ sqrt {8}} {3+\ sqrt {8}} &=\ dfrac {(3+\ sqrt {8}) (3+\ sqrt {8})} {3^ {2} - (\ sqrt {8})} {3^ {2} - (\ sqrt {8}) ^ {2}}\\ \ dfrac {2+\ sqrt {7}} {4-\ sqrt {3}}\ cdot\ dfrac {4+\ sqrt {3}} {4+\ sqrt {3}} &=\ dfrac {(2+\ sqrt {7}) (4+\ sqrt {3})} {4^ {2} - (\ sqrt {3}) ^ {2}}\\