Resolver sqrt{[(13)^{2}-(07)^{2}+32]^2:11^2*5+[(28)^2-023]*10^2}

$$\sqrt { [ ( 13 ) ^ { 2 } - ( 07 ) ^ { 2 } + 32 ] ^ { 2 } : 11 ^ { 2 } \cdot 5 + [ ( 28 ) ^ { 2 } - 023 ] \cdot 10 ^ { 2 } }$$

Calcular

$$\frac{\sqrt{9688405}}{11}\approx 282.965479891$$

Pasos da solución

Calcula 13 á potencia de 2 e obtén 169.

$$\sqrt{\frac{\left(169-\left(0\times 7\right)^{2}+32\right)^{2}}{11^{2}}\times 5+\left(28^{2}-0\times 23\right)\times 10^{2}}$$

Multiplica 0 e 7 para obter 0.

$$\sqrt{\frac{\left(169-0^{2}+32\right)^{2}}{11^{2}}\times 5+\left(28^{2}-0\times 23\right)\times 10^{2}}$$

Calcula 0 á potencia de 2 e obtén 0.

$$\sqrt{\frac{\left(169-0+32\right)^{2}}{11^{2}}\times 5+\left(28^{2}-0\times 23\right)\times 10^{2}}$$

Resta 0 de 169 para obter 169.

$$\sqrt{\frac{\left(169+32\right)^{2}}{11^{2}}\times 5+\left(28^{2}-0\times 23\right)\times 10^{2}}$$

Suma 169 e 32 para obter 201.

$$\sqrt{\frac{201^{2}}{11^{2}}\times 5+\left(28^{2}-0\times 23\right)\times 10^{2}}$$

Calcula 201 á potencia de 2 e obtén 40401.

$$\sqrt{\frac{40401}{11^{2}}\times 5+\left(28^{2}-0\times 23\right)\times 10^{2}}$$

Calcula 11 á potencia de 2 e obtén 121.

$$\sqrt{\frac{40401}{121}\times 5+\left(28^{2}-0\times 23\right)\times 10^{2}}$$

Multiplica \frac{40401}{121} e 5 para obter \frac{202005}{121}.

$$\sqrt{\frac{202005}{121}+\left(28^{2}-0\times 23\right)\times 10^{2}}$$

Calcula 28 á potencia de 2 e obtén 784.

$$\sqrt{\frac{202005}{121}+\left(784-0\times 23\right)\times 10^{2}}$$

Multiplica 0 e 23 para obter 0.

$$\sqrt{\frac{202005}{121}+\left(784-0\right)\times 10^{2}}$$

Resta 0 de 784 para obter 784.

$$\sqrt{\frac{202005}{121}+784\times 10^{2}}$$

Calcula 10 á potencia de 2 e obtén 100.

$$\sqrt{\frac{202005}{121}+784\times 100}$$

Multiplica 784 e 100 para obter 78400.

$$\sqrt{\frac{202005}{121}+78400}$$

Suma \frac{202005}{121} e 78400 para obter \frac{9688405}{121}.

$$\sqrt{\frac{9688405}{121}}$$

Reescribe a raíz cadrada da división \sqrt{\frac{9688405}{121}} como a división de raíces cadradas \frac{\sqrt{9688405}}{\sqrt{121}}.

$$\frac{\sqrt{9688405}}{\sqrt{121}}$$

Calcular a raíz cadrada de 121 e obter 11.

$$\frac{\sqrt{9688405}}{11}$$