Solve {left(48/13right)}^2+117.55^2

$${ \left(4 \frac{ 8 }{ 13 } \right) }^{ 2 } + { 117.55 }^{ 2 }$$

Evaluate

$$\frac{935536969}{67600}\approx 13839.304275148$$

Solution Steps

Multiply 4 and 13 to get 52.

$$\left(\frac{52+8}{13}\right)^{2}+117.55^{2}$$

Add 52 and 8 to get 60.

$$\left(\frac{60}{13}\right)^{2}+117.55^{2}$$

Calculate \frac{60}{13} to the power of 2 and get \frac{3600}{169}.

$$\frac{3600}{169}+117.55^{2}$$

Calculate 117.55 to the power of 2 and get 13818.0025.

$$\frac{3600}{169}+13818.0025$$

Add \frac{3600}{169} and 13818.0025 to get \frac{935536969}{67600}.

$$\frac{935536969}{67600}$$

Factor

$$\frac{137 \cdot 6828737}{2 ^ {4} \cdot 5 ^ {2} \cdot 13 ^ {2}} = 13839\frac{20569}{67600} = 13839.30427514793$$