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

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

Avaliar

$$\frac{\sqrt{9688405}}{11}\approx 282,965479891$$

Passos Para a Resolução

Calcule 13 elevado a 2 e obtenha 169.

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

Multiplique 0 e 7 para obter 0.

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

Calcule 0 elevado a 2 e obtenha 0.

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

Subtraia 0 de 169 para obter 169.

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

Some 169 e 32 para obter 201.

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

Calcule 201 elevado a 2 e obtenha 40401.

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

Calcule 11 elevado a 2 e obtenha 121.

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

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

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

Calcule 28 elevado a 2 e obtenha 784.

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

Multiplique 0 e 23 para obter 0.

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

Subtraia 0 de 784 para obter 784.

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

Calcule 10 elevado a 2 e obtenha 100.

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

Multiplique 784 e 100 para obter 78400.

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

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

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

Reescreva a raiz quadrada da divisão \sqrt{\frac{9688405}{121}} à medida que a divisão de raízes quadradas \frac{\sqrt{9688405}}{\sqrt{121}}.

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

Calcule a raiz quadrada de 121 e obtenha 11.

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