Resolver sqrt{(229*10^-4)^2+(905*10^-3)^2}

$$\sqrt { ( 229 \cdot 10 ^ { - 4 } ) ^ { 2 } + ( 905 \cdot 10 ^ { - 3 } ) ^ { 2 } }$$

Avaliar

$$\frac{\sqrt{81954941}}{10000}\approx 0,905289683$$

Passos Para a Resolução

Calcule 10 elevado a -4 e obtenha \frac{1}{10000}.

$$\sqrt{\left(229\times \frac{1}{10000}\right)^{2}+\left(905\times 10^{-3}\right)^{2}}$$

Multiplique 229 e \frac{1}{10000} para obter \frac{229}{10000}.

$$\sqrt{\left(\frac{229}{10000}\right)^{2}+\left(905\times 10^{-3}\right)^{2}}$$

Calcule \frac{229}{10000} elevado a 2 e obtenha \frac{52441}{100000000}.

$$\sqrt{\frac{52441}{100000000}+\left(905\times 10^{-3}\right)^{2}}$$

Calcule 10 elevado a -3 e obtenha \frac{1}{1000}.

$$\sqrt{\frac{52441}{100000000}+\left(905\times \frac{1}{1000}\right)^{2}}$$

Multiplique 905 e \frac{1}{1000} para obter \frac{181}{200}.

$$\sqrt{\frac{52441}{100000000}+\left(\frac{181}{200}\right)^{2}}$$

Calcule \frac{181}{200} elevado a 2 e obtenha \frac{32761}{40000}.

$$\sqrt{\frac{52441}{100000000}+\frac{32761}{40000}}$$

Some \frac{52441}{100000000} e \frac{32761}{40000} para obter \frac{81954941}{100000000}.

$$\sqrt{\frac{81954941}{100000000}}$$

Reescreva a raiz quadrada da divisão \sqrt{\frac{81954941}{100000000}} à medida que a divisão de raízes quadradas \frac{\sqrt{81954941}}{\sqrt{100000000}}.

$$\frac{\sqrt{81954941}}{\sqrt{100000000}}$$

Calcule a raiz quadrada de 100000000 e obtenha 10000.

$$\frac{\sqrt{81954941}}{10000}$$