Resolver sqrt{9+sqrt[4]{81}+sqrt[3]{1}-sqrt[4]{3^8}}

$$\sqrt { 9 + \sqrt[ 4 ] { 81 } + \sqrt[ 3 ] { 1 } - \sqrt[ 4 ] { 3 ^ { 8 } } }$$

Calcular

$$2$$

Pasos da solución

Calcular \sqrt[4]{81} e obter 3.

$$\sqrt{9+3+\sqrt[3]{1}-\sqrt[4]{3^{8}}}$$

Suma 9 e 3 para obter 12.

$$\sqrt{12+\sqrt[3]{1}-\sqrt[4]{3^{8}}}$$

Calcular \sqrt[3]{1} e obter 1.

$$\sqrt{12+1-\sqrt[4]{3^{8}}}$$

Suma 12 e 1 para obter 13.

$$\sqrt{13-\sqrt[4]{3^{8}}}$$

Calcula 3 á potencia de 8 e obtén 6561.

$$\sqrt{13-\sqrt[4]{6561}}$$

Calcular \sqrt[4]{6561} e obter 9.

$$\sqrt{13-9}$$

Resta 9 de 13 para obter 4.

$$\sqrt{4}$$

Calcular a raíz cadrada de 4 e obter 2.

$$2$$

Factorizar

$$2$$