Resolver frac{{(sqrt{169}-4)*(1+sqrt{25})}}{(sqrt{49}-1)}+sqrt{sqrt[3]{729}}

$$\frac { \{ ( \sqrt { 169 } - 4 ) \cdot ( 1 + \sqrt { 25 } ) \} } { ( \sqrt { 49 } - 1 ) } + \sqrt { \sqrt[ 3 ] { 729 } }$$

Calcular

$$12$$

Pasos da solución

Calcular a raíz cadrada de 169 e obter 13.

$$\frac{\left(13-4\right)\left(1+\sqrt{25}\right)}{\sqrt{49}-1}+\sqrt{\sqrt[3]{729}}$$

Resta 4 de 13 para obter 9.

$$\frac{9\left(1+\sqrt{25}\right)}{\sqrt{49}-1}+\sqrt{\sqrt[3]{729}}$$

Calcular a raíz cadrada de 25 e obter 5.

$$\frac{9\left(1+5\right)}{\sqrt{49}-1}+\sqrt{\sqrt[3]{729}}$$

Suma 1 e 5 para obter 6.

$$\frac{9\times 6}{\sqrt{49}-1}+\sqrt{\sqrt[3]{729}}$$

Multiplica 9 e 6 para obter 54.

$$\frac{54}{\sqrt{49}-1}+\sqrt{\sqrt[3]{729}}$$

Calcular a raíz cadrada de 49 e obter 7.

$$\frac{54}{7-1}+\sqrt{\sqrt[3]{729}}$$

Resta 1 de 7 para obter 6.

$$\frac{54}{6}+\sqrt{\sqrt[3]{729}}$$

Divide 54 entre 6 para obter 9.

$$9+\sqrt{\sqrt[3]{729}}$$

Calcular \sqrt[3]{729} e obter 9.

$$9+\sqrt{9}$$

Calcular a raíz cadrada de 9 e obter 3.

$$9+3$$

Suma 9 e 3 para obter 12.

$$12$$

Factorizar

$$2^{2}\times 3$$