Solve 5^2+4^2-3^2/2*5*3

$$\frac{ { 5 }^{ 2 } + { 4 }^{ 2 } - { 3 }^{ 2 } }{ 2 \times 5 \times 3 }$$

Evaluate

$$\frac{16}{15}\approx 1.066666667$$

Solution Steps

Calculate 5 to the power of 2 and get 25.

$$\frac{25+4^{2}-3^{2}}{2\times 5\times 3}$$

Calculate 4 to the power of 2 and get 16.

$$\frac{25+16-3^{2}}{2\times 5\times 3}$$

Add 25 and 16 to get 41.

$$\frac{41-3^{2}}{2\times 5\times 3}$$

Calculate 3 to the power of 2 and get 9.

$$\frac{41-9}{2\times 5\times 3}$$

Subtract 9 from 41 to get 32.

$$\frac{32}{2\times 5\times 3}$$

Multiply 2 and 5 to get 10.

$$\frac{32}{10\times 3}$$

Multiply 10 and 3 to get 30.

$$\frac{32}{30}$$

Reduce the fraction \frac{32}{30} to lowest terms by extracting and canceling out 2.

$$\frac{16}{15}$$

Factor

$$\frac{2 ^ {4}}{3 \cdot 5} = 1\frac{1}{15} = 1.0666666666666667$$