Solve 7^2+8^2-5^2/2*7*8

$$\frac{ { 7 }^{ 2 } + { 8 }^{ 2 } - { 5 }^{ 2 } }{ 2 \times 7 \times 8 }$$

Evaluate

$$\frac{11}{14}\approx 0.785714286$$

Solution Steps

Calculate 7 to the power of 2 and get 49.

$$\frac{49+8^{2}-5^{2}}{2\times 7\times 8}$$

Calculate 8 to the power of 2 and get 64.

$$\frac{49+64-5^{2}}{2\times 7\times 8}$$

Add 49 and 64 to get 113.

$$\frac{113-5^{2}}{2\times 7\times 8}$$

Calculate 5 to the power of 2 and get 25.

$$\frac{113-25}{2\times 7\times 8}$$

Subtract 25 from 113 to get 88.

$$\frac{88}{2\times 7\times 8}$$

Multiply 2 and 7 to get 14.

$$\frac{88}{14\times 8}$$

Multiply 14 and 8 to get 112.

$$\frac{88}{112}$$

Reduce the fraction \frac{88}{112} to lowest terms by extracting and canceling out 8.

$$\frac{11}{14}$$

Factor

$$\frac{11}{2 \cdot 7} = 0.7857142857142857$$