Solve sqrt{(0.16^2+0.14^2)/4}=

$$\sqrt { ( 0.16 ^ { 2 } + 0.14 ^ { 2 } ) / 4 } =$$

Evaluate

$$\frac{\sqrt{113}}{100}\approx 0.106301458$$

Solution Steps

Calculate 0.16 to the power of 2 and get 0.0256.

$$\sqrt{\frac{0.0256+0.14^{2}}{4}}$$

Calculate 0.14 to the power of 2 and get 0.0196.

$$\sqrt{\frac{0.0256+0.0196}{4}}$$

Add 0.0256 and 0.0196 to get 0.0452.

$$\sqrt{\frac{0.0452}{4}}$$

Expand \frac{0.0452}{4} by multiplying both numerator and the denominator by 10000.

$$\sqrt{\frac{452}{40000}}$$

Reduce the fraction \frac{452}{40000} to lowest terms by extracting and canceling out 4.

$$\sqrt{\frac{113}{10000}}$$

Rewrite the square root of the division \sqrt{\frac{113}{10000}} as the division of square roots \frac{\sqrt{113}}{\sqrt{10000}}.

$$\frac{\sqrt{113}}{\sqrt{10000}}$$

Calculate the square root of 10000 and get 100.

$$\frac{\sqrt{113}}{100}$$