Solve 11^2+13^2-5^2/2*11*13

$$\frac { 11 ^ { 2 } + 13 ^ { 2 } - 5 ^ { 2 } } { 2 \times 11 \times 13 }$$

Evaluate

$$\frac{265}{286}\approx 0.926573427$$

Solution Steps

Calculate 11 to the power of 2 and get 121.

$$\frac{121+13^{2}-5^{2}}{2\times 11\times 13}$$

Calculate 13 to the power of 2 and get 169.

$$\frac{121+169-5^{2}}{2\times 11\times 13}$$

Add 121 and 169 to get 290.

$$\frac{290-5^{2}}{2\times 11\times 13}$$

Calculate 5 to the power of 2 and get 25.

$$\frac{290-25}{2\times 11\times 13}$$

Subtract 25 from 290 to get 265.

$$\frac{265}{2\times 11\times 13}$$

Multiply 2 and 11 to get 22.

$$\frac{265}{22\times 13}$$

Multiply 22 and 13 to get 286.

$$\frac{265}{286}$$

Factor

$$\frac{5 \cdot 53}{2 \cdot 11 \cdot 13} = 0.9265734265734266$$