Solve 5^2+8^2+10^2/2*8*5

$$\frac{ { 5 }^{ 2 } + { 8 }^{ 2 } + { 10 }^{ 2 } }{ 2 \times 8 \times 5 }$$

Evaluate

$$\frac{189}{80}=2.3625$$

Solution Steps

Calculate 5 to the power of 2 and get 25.

$$\frac{25+8^{2}+10^{2}}{2\times 8\times 5}$$

Calculate 8 to the power of 2 and get 64.

$$\frac{25+64+10^{2}}{2\times 8\times 5}$$

Add 25 and 64 to get 89.

$$\frac{89+10^{2}}{2\times 8\times 5}$$

Calculate 10 to the power of 2 and get 100.

$$\frac{89+100}{2\times 8\times 5}$$

Add 89 and 100 to get 189.

$$\frac{189}{2\times 8\times 5}$$

Multiply 2 and 8 to get 16.

$$\frac{189}{16\times 5}$$

Multiply 16 and 5 to get 80.

$$\frac{189}{80}$$

Factor

$$\frac{3 ^ {3} \cdot 7}{2 ^ {4} \cdot 5} = 2\frac{29}{80} = 2.3625$$