Solve =frac{sqrt{12}}{512}+1/8

$$= \frac { \sqrt { 12 } } { 512 } + \frac { 1 } { 8 }$$

Evaluate

$$\frac{\sqrt{3}}{256}+\frac{1}{8}\approx 0.131765823$$

Solution Steps

Factor 12=2^{2}\times 3. Rewrite the square root of the product \sqrt{2^{2}\times 3} as the product of square roots \sqrt{2^{2}}\sqrt{3}. Take the square root of 2^{2}.

$$\frac{2\sqrt{3}}{512}+\frac{1}{8}$$

Divide 2\sqrt{3} by 512 to get \frac{1}{256}\sqrt{3}.

$$\frac{1}{256}\sqrt{3}+\frac{1}{8}$$

Factor

$$\frac{\sqrt{3} + 32}{256} = 0.13176582346706592$$