Solve (19^2*0.8832+22.5^2*0.06+24.5^2*0.0368+28^2*0.02-{19.5924}^2)

$$( { 19 }^{ 2 } \times 0.8832+ { 22.5 }^{ 2 } \times 0.06+ { 24.5 }^{ 2 } \times 0.0368+ { 28 }^{ 2 } \times 0.02- { 19.5924 }^{ 2 } )$$

Evaluate

$$3.11726224$$

Solution Steps

Calculate 19 to the power of 2 and get 361.

$$361\times 0.8832+22.5^{2}\times 0.06+24.5^{2}\times 0.0368+28^{2}\times 0.02-19.5924^{2}$$

Multiply 361 and 0.8832 to get 318.8352.

$$318.8352+22.5^{2}\times 0.06+24.5^{2}\times 0.0368+28^{2}\times 0.02-19.5924^{2}$$

Calculate 22.5 to the power of 2 and get 506.25.

$$318.8352+506.25\times 0.06+24.5^{2}\times 0.0368+28^{2}\times 0.02-19.5924^{2}$$

Multiply 506.25 and 0.06 to get 30.375.

$$318.8352+30.375+24.5^{2}\times 0.0368+28^{2}\times 0.02-19.5924^{2}$$

Add 318.8352 and 30.375 to get 349.2102.

$$349.2102+24.5^{2}\times 0.0368+28^{2}\times 0.02-19.5924^{2}$$

Calculate 24.5 to the power of 2 and get 600.25.

$$349.2102+600.25\times 0.0368+28^{2}\times 0.02-19.5924^{2}$$

Multiply 600.25 and 0.0368 to get 22.0892.

$$349.2102+22.0892+28^{2}\times 0.02-19.5924^{2}$$

Add 349.2102 and 22.0892 to get 371.2994.

$$371.2994+28^{2}\times 0.02-19.5924^{2}$$

Calculate 28 to the power of 2 and get 784.

$$371.2994+784\times 0.02-19.5924^{2}$$

Multiply 784 and 0.02 to get 15.68.

$$371.2994+15.68-19.5924^{2}$$

Add 371.2994 and 15.68 to get 386.9794.

$$386.9794-19.5924^{2}$$

Calculate 19.5924 to the power of 2 and get 383.86213776.

$$386.9794-383.86213776$$

Subtract 383.86213776 from 386.9794 to get 3.11726224.

$$3.11726224$$

Factor

$$\frac{19482889}{2 ^ {4} \cdot 5 ^ {8}} = 3\frac{732889}{6250000} = 3.11726224$$