Resolver (frac{sqrt{12^2+5^2}}{26}+sqrt[3]{-8}+sqrt{(-1)^2})*(-sqrt{64})

$$( \frac { \sqrt { 12 ^ { 2 } + 5 ^ { 2 } } } { 26 } + \sqrt[ 3 ] { - 8 } + \sqrt { ( - 1 ) ^ { 2 } } ) \times ( - \sqrt { 64 } )$$

Calcular

$$4$$

Pasos da solución

Calcula 12 á potencia de 2 e obtén 144.

$$\left(\frac{\sqrt{144+5^{2}}}{26}+\sqrt[3]{-8}+\sqrt{\left(-1\right)^{2}}\right)\left(-\sqrt{64}\right)$$

Calcula 5 á potencia de 2 e obtén 25.

$$\left(\frac{\sqrt{144+25}}{26}+\sqrt[3]{-8}+\sqrt{\left(-1\right)^{2}}\right)\left(-\sqrt{64}\right)$$

Suma 144 e 25 para obter 169.

$$\left(\frac{\sqrt{169}}{26}+\sqrt[3]{-8}+\sqrt{\left(-1\right)^{2}}\right)\left(-\sqrt{64}\right)$$

Calcular a raíz cadrada de 169 e obter 13.

$$\left(\frac{13}{26}+\sqrt[3]{-8}+\sqrt{\left(-1\right)^{2}}\right)\left(-\sqrt{64}\right)$$

Reduce a fracción \frac{13}{26} a termos máis baixos extraendo e cancelando 13.

$$\left(\frac{1}{2}+\sqrt[3]{-8}+\sqrt{\left(-1\right)^{2}}\right)\left(-\sqrt{64}\right)$$

Calcular \sqrt[3]{-8} e obter -2.

$$\left(\frac{1}{2}-2+\sqrt{\left(-1\right)^{2}}\right)\left(-\sqrt{64}\right)$$

Resta 2 de \frac{1}{2} para obter -\frac{3}{2}.

$$\left(-\frac{3}{2}+\sqrt{\left(-1\right)^{2}}\right)\left(-\sqrt{64}\right)$$

Calcula -1 á potencia de 2 e obtén 1.

$$\left(-\frac{3}{2}+\sqrt{1}\right)\left(-\sqrt{64}\right)$$

Calcular a raíz cadrada de 1 e obter 1.

$$\left(-\frac{3}{2}+1\right)\left(-\sqrt{64}\right)$$

Suma -\frac{3}{2} e 1 para obter -\frac{1}{2}.

$$-\frac{1}{2}\left(-\sqrt{64}\right)$$

Calcular a raíz cadrada de 64 e obter 8.

$$-\frac{1}{2}\left(-8\right)$$

Multiplica -\frac{1}{2} e -8 para obter 4.

$$4$$

Factorizar

$$2^{2}$$