Solve sqrt{4*10^-6}

$$\sqrt { 4 \times 10 ^ { - 6 } }$$

Evaluate

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

Solution Steps

Calculate 10 to the power of -6 and get \frac{1}{1000000}.

$$\sqrt{4\times \frac{1}{1000000}}$$

Multiply 4 and \frac{1}{1000000} to get \frac{1}{250000}.

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

Rewrite the square root of the division \frac{1}{250000} as the division of square roots \frac{\sqrt{1}}{\sqrt{250000}}. Take the square root of both numerator and denominator.

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

Factor

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