Resolver {l}{sqrt{51+2^{2}+3^{2}}-sqrt{3^{2}+4^{2}}+sqrt{6^2+3^3+1^4}}{sqrt{5*4+2*3-1}:sqrt{6*4-9*2-5}+sqrt{3^2}}

$$\left. \begin{array} { l } { \sqrt { 51 + 2 ^ { 2 } + 3 ^ { 2 } } - \sqrt { 3 ^ { 2 } + 4 ^ { 2 } } + \sqrt { 6 ^ { 2 } + 3 ^ { 3 } + 1 ^ { 4 } } } \\ { \sqrt { 5 \cdot 4 + 2 \cdot 3 - 1 } : \sqrt { 6 \cdot 4 - 9 \cdot 2 - 5 } + \sqrt { 3 ^ { 2 } } } \end{array} \right.$$

Ordenar

$$8,11$$

Pasos da solución

Calcula 2 á potencia de 2 e obtén 4.

$$sort(\sqrt{51+4+3^{2}}-\sqrt{3^{2}+4^{2}}+\sqrt{6^{2}+3^{3}+1^{4}},\frac{\sqrt{5\times 4+2\times 3-1}}{\sqrt{6\times 4-9\times 2-5}}+\sqrt{3^{2}})$$

Suma 51 e 4 para obter 55.

$$sort(\sqrt{55+3^{2}}-\sqrt{3^{2}+4^{2}}+\sqrt{6^{2}+3^{3}+1^{4}},\frac{\sqrt{5\times 4+2\times 3-1}}{\sqrt{6\times 4-9\times 2-5}}+\sqrt{3^{2}})$$

Calcula 3 á potencia de 2 e obtén 9.

$$sort(\sqrt{55+9}-\sqrt{3^{2}+4^{2}}+\sqrt{6^{2}+3^{3}+1^{4}},\frac{\sqrt{5\times 4+2\times 3-1}}{\sqrt{6\times 4-9\times 2-5}}+\sqrt{3^{2}})$$

Suma 55 e 9 para obter 64.

$$sort(\sqrt{64}-\sqrt{3^{2}+4^{2}}+\sqrt{6^{2}+3^{3}+1^{4}},\frac{\sqrt{5\times 4+2\times 3-1}}{\sqrt{6\times 4-9\times 2-5}}+\sqrt{3^{2}})$$

Calcular a raíz cadrada de 64 e obter 8.

$$sort(8-\sqrt{3^{2}+4^{2}}+\sqrt{6^{2}+3^{3}+1^{4}},\frac{\sqrt{5\times 4+2\times 3-1}}{\sqrt{6\times 4-9\times 2-5}}+\sqrt{3^{2}})$$

Calcula 3 á potencia de 2 e obtén 9.

$$sort(8-\sqrt{9+4^{2}}+\sqrt{6^{2}+3^{3}+1^{4}},\frac{\sqrt{5\times 4+2\times 3-1}}{\sqrt{6\times 4-9\times 2-5}}+\sqrt{3^{2}})$$

Calcula 4 á potencia de 2 e obtén 16.

$$sort(8-\sqrt{9+16}+\sqrt{6^{2}+3^{3}+1^{4}},\frac{\sqrt{5\times 4+2\times 3-1}}{\sqrt{6\times 4-9\times 2-5}}+\sqrt{3^{2}})$$

Suma 9 e 16 para obter 25.

$$sort(8-\sqrt{25}+\sqrt{6^{2}+3^{3}+1^{4}},\frac{\sqrt{5\times 4+2\times 3-1}}{\sqrt{6\times 4-9\times 2-5}}+\sqrt{3^{2}})$$

Calcular a raíz cadrada de 25 e obter 5.

$$sort(8-5+\sqrt{6^{2}+3^{3}+1^{4}},\frac{\sqrt{5\times 4+2\times 3-1}}{\sqrt{6\times 4-9\times 2-5}}+\sqrt{3^{2}})$$

Resta 5 de 8 para obter 3.

$$sort(3+\sqrt{6^{2}+3^{3}+1^{4}},\frac{\sqrt{5\times 4+2\times 3-1}}{\sqrt{6\times 4-9\times 2-5}}+\sqrt{3^{2}})$$

Calcula 6 á potencia de 2 e obtén 36.

$$sort(3+\sqrt{36+3^{3}+1^{4}},\frac{\sqrt{5\times 4+2\times 3-1}}{\sqrt{6\times 4-9\times 2-5}}+\sqrt{3^{2}})$$

Calcula 3 á potencia de 3 e obtén 27.

$$sort(3+\sqrt{36+27+1^{4}},\frac{\sqrt{5\times 4+2\times 3-1}}{\sqrt{6\times 4-9\times 2-5}}+\sqrt{3^{2}})$$

Suma 36 e 27 para obter 63.

$$sort(3+\sqrt{63+1^{4}},\frac{\sqrt{5\times 4+2\times 3-1}}{\sqrt{6\times 4-9\times 2-5}}+\sqrt{3^{2}})$$

Calcula 1 á potencia de 4 e obtén 1.

$$sort(3+\sqrt{63+1},\frac{\sqrt{5\times 4+2\times 3-1}}{\sqrt{6\times 4-9\times 2-5}}+\sqrt{3^{2}})$$

Suma 63 e 1 para obter 64.

$$sort(3+\sqrt{64},\frac{\sqrt{5\times 4+2\times 3-1}}{\sqrt{6\times 4-9\times 2-5}}+\sqrt{3^{2}})$$

Calcular a raíz cadrada de 64 e obter 8.

$$sort(3+8,\frac{\sqrt{5\times 4+2\times 3-1}}{\sqrt{6\times 4-9\times 2-5}}+\sqrt{3^{2}})$$

Suma 3 e 8 para obter 11.

$$sort(11,\frac{\sqrt{5\times 4+2\times 3-1}}{\sqrt{6\times 4-9\times 2-5}}+\sqrt{3^{2}})$$

Multiplica 5 e 4 para obter 20. Multiplica 2 e 3 para obter 6.

$$sort(11,\frac{\sqrt{20+6-1}}{\sqrt{6\times 4-9\times 2-5}}+\sqrt{3^{2}})$$

Suma 20 e 6 para obter 26.

$$sort(11,\frac{\sqrt{26-1}}{\sqrt{6\times 4-9\times 2-5}}+\sqrt{3^{2}})$$

Resta 1 de 26 para obter 25.

$$sort(11,\frac{\sqrt{25}}{\sqrt{6\times 4-9\times 2-5}}+\sqrt{3^{2}})$$

Calcular a raíz cadrada de 25 e obter 5.

$$sort(11,\frac{5}{\sqrt{6\times 4-9\times 2-5}}+\sqrt{3^{2}})$$

Multiplica 6 e 4 para obter 24.

$$sort(11,\frac{5}{\sqrt{24-9\times 2-5}}+\sqrt{3^{2}})$$

Multiplica 9 e 2 para obter 18.

$$sort(11,\frac{5}{\sqrt{24-18-5}}+\sqrt{3^{2}})$$

Resta 18 de 24 para obter 6.

$$sort(11,\frac{5}{\sqrt{6-5}}+\sqrt{3^{2}})$$

Resta 5 de 6 para obter 1.

$$sort(11,\frac{5}{\sqrt{1}}+\sqrt{3^{2}})$$

Calcular a raíz cadrada de 1 e obter 1.

$$sort(11,\frac{5}{1}+\sqrt{3^{2}})$$

Calquera cifra entre un é igual á cifra.

$$sort(11,5+\sqrt{3^{2}})$$

Calcula 3 á potencia de 2 e obtén 9.

$$sort(11,5+\sqrt{9})$$

Calcular a raíz cadrada de 9 e obter 3.

$$sort(11,5+3)$$

Suma 5 e 3 para obter 8.

$$sort(11,8)$$

Para ordenar a lista, empeza por un único elemento 11.

$$11$$

Insire 8 na localización axeitada na nova lista.

$$8,11$$

Calcular

$$11,\ 8$$