Solve sqrt{1/4}+frac{sqrt{1}}{4}=

$$\sqrt{ \frac{ 1 }{ 4 } } + \frac{ \sqrt{ 1 } }{ 4 } =$$

Evaluate

$$\frac{3}{4}=0.75$$

Solution Steps

Rewrite the square root of the division \frac{1}{4} as the division of square roots \frac{\sqrt{1}}{\sqrt{4}}. Take the square root of both numerator and denominator.

$$\frac{1}{2}+\frac{\sqrt{1}}{4}$$

Calculate the square root of 1 and get 1.

$$\frac{1}{2}+\frac{1}{4}$$

Least common multiple of 2 and 4 is 4. Convert \frac{1}{2} and \frac{1}{4} to fractions with denominator 4.

$$\frac{2}{4}+\frac{1}{4}$$

Since \frac{2}{4} and \frac{1}{4} have the same denominator, add them by adding their numerators.

$$\frac{2+1}{4}$$

Add 2 and 1 to get 3.

$$\frac{3}{4}$$

Factor

$$\frac{3}{2 ^ {2}} = 0.75$$