Solve sqrt{3.9*10^-9*0.040}

$$\sqrt { 3.9 \times 10 ^ { - 9 } \times 0.040 }$$

Evaluate

$$\frac{\sqrt{39}}{500000}\approx 0.00001249$$

Solution Steps

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

$$\sqrt{3.9\times \frac{1}{1000000000}\times 0.04}$$

Multiply 3.9 and \frac{1}{1000000000} to get \frac{39}{10000000000}.

$$\sqrt{\frac{39}{10000000000}\times 0.04}$$

Multiply \frac{39}{10000000000} and 0.04 to get \frac{39}{250000000000}.

$$\sqrt{\frac{39}{250000000000}}$$

Rewrite the square root of the division \sqrt{\frac{39}{250000000000}} as the division of square roots \frac{\sqrt{39}}{\sqrt{250000000000}}.

$$\frac{\sqrt{39}}{\sqrt{250000000000}}$$

Calculate the square root of 250000000000 and get 500000.

$$\frac{\sqrt{39}}{500000}$$