Solve (1^2/2+101/2+25)

$$( \frac { 1 ^ { 2 } } { 2 } + 10 \frac { 1 } { 2 } + 25 )$$

Evaluate

$$36$$

Solution Steps

Calculate 1 to the power of 2 and get 1.

$$\frac{1}{2}+\frac{10\times 2+1}{2}+25$$

Multiply 10 and 2 to get 20.

$$\frac{1}{2}+\frac{20+1}{2}+25$$

Add 20 and 1 to get 21.

$$\frac{1}{2}+\frac{21}{2}+25$$

Since \frac{1}{2} and \frac{21}{2} have the same denominator, add them by adding their numerators.

$$\frac{1+21}{2}+25$$

Add 1 and 21 to get 22.

$$\frac{22}{2}+25$$

Divide 22 by 2 to get 11.

$$11+25$$

Add 11 and 25 to get 36.

$$36$$

Factor

$$2^{2}\times 3^{2}$$