Solve a/2^2+2/a

$$\frac { a } { 2 ^ { 2 } } + \frac { 2 } { a }$$

Evaluate

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

Short Solution Steps

Calculate 2 to the power of 2 and get 4.

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

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 4 and a is 4a. Multiply \frac{a}{4} times \frac{a}{a}. Multiply \frac{2}{a} times \frac{4}{4}.

$$\frac{aa}{4a}+\frac{2\times 4}{4a}$$

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

$$\frac{aa+2\times 4}{4a}$$

Do the multiplications in aa+2\times 4.

$$\frac{a^{2}+8}{4a}$$

Factor

$$\frac{a^{2}+8}{4a}$$