Solve sqrt{0.0033/3}

$$\sqrt{ \frac{ 0.0033 }{ 3 } }$$

Evaluate

$$\frac{\sqrt{11}}{100}\approx 0.033166248$$

Solution Steps

Expand \frac{0.0033}{3} by multiplying both numerator and the denominator by 10000.

$$\sqrt{\frac{33}{30000}}$$

Reduce the fraction \frac{33}{30000} to lowest terms by extracting and canceling out 3.

$$\sqrt{\frac{11}{10000}}$$

Rewrite the square root of the division \sqrt{\frac{11}{10000}} as the division of square roots \frac{\sqrt{11}}{\sqrt{10000}}.

$$\frac{\sqrt{11}}{\sqrt{10000}}$$

Calculate the square root of 10000 and get 100.

$$\frac{\sqrt{11}}{100}$$