Resolver sqrt{20*10^-6*002*3+400*10^-12*10000}

$$\sqrt{ 20 \times { 10 }^{ -6 } \times 002 \times 3+400 \times { 10 }^{ -12 } \times 10000 }$$

Calcular

$$\frac{1}{500}=0.002$$

Pasos da solución

Calcula 10 á potencia de -6 e obtén \frac{1}{1000000}.

$$\sqrt{20\times \frac{1}{1000000}\times 0\times 0\times 2\times 3+400\times 10^{-12}\times 10000}$$

Multiplica 20 e \frac{1}{1000000} para obter \frac{1}{50000}.

$$\sqrt{\frac{1}{50000}\times 0\times 0\times 2\times 3+400\times 10^{-12}\times 10000}$$

Multiplica \frac{1}{50000} e 0 para obter 0.

$$\sqrt{0\times 0\times 2\times 3+400\times 10^{-12}\times 10000}$$

Multiplica 0 e 0 para obter 0.

$$\sqrt{0\times 2\times 3+400\times 10^{-12}\times 10000}$$

Multiplica 0 e 2 para obter 0.

$$\sqrt{0\times 3+400\times 10^{-12}\times 10000}$$

Multiplica 0 e 3 para obter 0.

$$\sqrt{0+400\times 10^{-12}\times 10000}$$

Calcula 10 á potencia de -12 e obtén \frac{1}{1000000000000}.

$$\sqrt{0+400\times \frac{1}{1000000000000}\times 10000}$$

Multiplica 400 e \frac{1}{1000000000000} para obter \frac{1}{2500000000}.

$$\sqrt{0+\frac{1}{2500000000}\times 10000}$$

Multiplica \frac{1}{2500000000} e 10000 para obter \frac{1}{250000}.

$$\sqrt{0+\frac{1}{250000}}$$

Suma 0 e \frac{1}{250000} para obter \frac{1}{250000}.

$$\sqrt{\frac{1}{250000}}$$

Reescribe a raíz cadrada da división \frac{1}{250000} como a división de raíces cadradas \frac{\sqrt{1}}{\sqrt{250000}}. Obtén a raíz cadrada do numerador e o denominador.

$$\frac{1}{500}$$

Factorizar

$$\frac{1}{2 ^ {2} \cdot 5 ^ {3}} = 0.002$$