Solve sqrt{2}10^-3+2sqrt{2}10^-3

$$\sqrt{ 2 } { 10 }^{ -3 } +2 \sqrt{ 2 } { 10 }^{ -3 }$$

Evaluate

$$\frac{3\sqrt{2}}{1000}\approx 0.004242641$$

Solution Steps

Calculate 10 to the power of -3 and get \frac{1}{1000}.

$$\sqrt{2}\times \frac{1}{1000}+2\sqrt{2}\times 10^{-3}$$

Calculate 10 to the power of -3 and get \frac{1}{1000}.

$$\sqrt{2}\times \frac{1}{1000}+2\sqrt{2}\times \frac{1}{1000}$$

Multiply 2 and \frac{1}{1000} to get \frac{1}{500}.

$$\sqrt{2}\times \frac{1}{1000}+\frac{1}{500}\sqrt{2}$$

Combine \sqrt{2}\times \frac{1}{1000} and \frac{1}{500}\sqrt{2} to get \frac{3}{1000}\sqrt{2}.

$$\frac{3}{1000}\sqrt{2}$$