Solve 15^2+(125/4)^2=

$$15 ^ { 2 } + ( \frac { 125 } { 4 } ) ^ { 2 } =$$

Evaluate

$$\frac{19225}{16}=1201.5625$$

Solution Steps

Calculate 15 to the power of 2 and get 225.

$$225+\left(\frac{125}{4}\right)^{2}$$

Calculate \frac{125}{4} to the power of 2 and get \frac{15625}{16}.

$$225+\frac{15625}{16}$$

Convert 225 to fraction \frac{3600}{16}.

$$\frac{3600}{16}+\frac{15625}{16}$$

Since \frac{3600}{16} and \frac{15625}{16} have the same denominator, add them by adding their numerators.

$$\frac{3600+15625}{16}$$

Add 3600 and 15625 to get 19225.

$$\frac{19225}{16}$$

Factor

$$\frac{5 ^ {2} \cdot 769}{2 ^ {4}} = 1201\frac{9}{16} = 1201.5625$$