Solve 3^2+{left(1/2right)}^2

$${ 3 }^{ 2 } + { \left( \frac{ 1 }{ 2 } \right) }^{ 2 }$$

Evaluate

$$\frac{37}{4}=9.25$$

Solution Steps

Calculate 3 to the power of 2 and get 9.

$$9+\left(\frac{1}{2}\right)^{2}$$

Calculate \frac{1}{2} to the power of 2 and get \frac{1}{4}.

$$9+\frac{1}{4}$$

Convert 9 to fraction \frac{36}{4}.

$$\frac{36}{4}+\frac{1}{4}$$

Since \frac{36}{4} and \frac{1}{4} have the same denominator, add them by adding their numerators.

$$\frac{36+1}{4}$$

Add 36 and 1 to get 37.

$$\frac{37}{4}$$

Factor

$$\frac{37}{2 ^ {2}} = 9\frac{1}{4} = 9.25$$