Solve sqrt{1/10^6}

$$\sqrt{ \frac{ 1 }{ { 10 }^{ 6 } } }$$

Evaluate

$$\frac{1}{1000}=0.001$$

Solution Steps

Calculate 10 to the power of 6 and get 1000000.

$$\sqrt{\frac{1}{1000000}}$$

Rewrite the square root of the division \frac{1}{1000000} as the division of square roots \frac{\sqrt{1}}{\sqrt{1000000}}. Take the square root of both numerator and denominator.

$$\frac{1}{1000}$$

Factor

$$\frac{1}{2 ^ {3} \cdot 5 ^ {3}} = 0.001$$