Solve sqrt{16*10^-6}

$$\sqrt { 16 \times 10 ^ { - 6 } }$$

Evaluate

$$\frac{1}{250}=0.004$$

Solution Steps

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

$$\sqrt{16\times \frac{1}{1000000}}$$

Multiply 16 and \frac{1}{1000000} to get \frac{1}{62500}.

$$\sqrt{\frac{1}{62500}}$$

Rewrite the square root of the division \frac{1}{62500} as the division of square roots \frac{\sqrt{1}}{\sqrt{62500}}. Take the square root of both numerator and denominator.

$$\frac{1}{250}$$

Factor

$$\frac{1}{2 \cdot 5 ^ {3}} = 0.004$$