Solve sqrt{0.044*10^-9}

$$\sqrt{ 0.044 \times { 10 }^{ -9 } }$$

Evaluate

$$\frac{\sqrt{11}}{500000}\approx 0.000006633$$

Solution Steps

Calculate 10 to the power of -9 and get \frac{1}{1000000000}.

$$\sqrt{0.044\times \frac{1}{1000000000}}$$

Multiply 0.044 and \frac{1}{1000000000} to get \frac{11}{250000000000}.

$$\sqrt{\frac{11}{250000000000}}$$

Rewrite the square root of the division \sqrt{\frac{11}{250000000000}} as the division of square roots \frac{\sqrt{11}}{\sqrt{250000000000}}.

$$\frac{\sqrt{11}}{\sqrt{250000000000}}$$

Calculate the square root of 250000000000 and get 500000.

$$\frac{\sqrt{11}}{500000}$$