Resolver sqrt{(2.29*10^-4)^2+(9.05*10^-3)^2}

$$\sqrt { ( 2.29 \cdot 10 ^ { - 4 } ) ^ { 2 } + ( 9.05 \cdot 10 ^ { - 3 } ) ^ { 2 } }$$

Calcular

$$\frac{\sqrt{81954941}}{1000000}\approx 0.009052897$$

Pasos da solución

Calcula 10 á potencia de -4 e obtén \frac{1}{10000}.

$$\sqrt{\left(2.29\times \frac{1}{10000}\right)^{2}+\left(9.05\times 10^{-3}\right)^{2}}$$

Multiplica 2.29 e \frac{1}{10000} para obter \frac{229}{1000000}.

$$\sqrt{\left(\frac{229}{1000000}\right)^{2}+\left(9.05\times 10^{-3}\right)^{2}}$$

Calcula \frac{229}{1000000} á potencia de 2 e obtén \frac{52441}{1000000000000}.

$$\sqrt{\frac{52441}{1000000000000}+\left(9.05\times 10^{-3}\right)^{2}}$$

Calcula 10 á potencia de -3 e obtén \frac{1}{1000}.

$$\sqrt{\frac{52441}{1000000000000}+\left(9.05\times \frac{1}{1000}\right)^{2}}$$

Multiplica 9.05 e \frac{1}{1000} para obter \frac{181}{20000}.

$$\sqrt{\frac{52441}{1000000000000}+\left(\frac{181}{20000}\right)^{2}}$$

Calcula \frac{181}{20000} á potencia de 2 e obtén \frac{32761}{400000000}.

$$\sqrt{\frac{52441}{1000000000000}+\frac{32761}{400000000}}$$

Suma \frac{52441}{1000000000000} e \frac{32761}{400000000} para obter \frac{81954941}{1000000000000}.

$$\sqrt{\frac{81954941}{1000000000000}}$$

Reescribe a raíz cadrada da división \sqrt{\frac{81954941}{1000000000000}} como a división de raíces cadradas \frac{\sqrt{81954941}}{\sqrt{1000000000000}}.

$$\frac{\sqrt{81954941}}{\sqrt{1000000000000}}$$

Calcular a raíz cadrada de 1000000000000 e obter 1000000.

$$\frac{\sqrt{81954941}}{1000000}$$