Solve 100^2+125^2+175^2+150^2+{200}^2

$${ 100 }^{ 2 } + { 125 }^{ 2 } + { 175 }^{ 2 } + { 150 }^{ 2 } + { 200 }^{ 2 }$$

Evaluate

$$118750$$

Solution Steps

Calculate 100 to the power of 2 and get 10000.

$$10000+125^{2}+175^{2}+150^{2}+200^{2}$$

Calculate 125 to the power of 2 and get 15625.

$$10000+15625+175^{2}+150^{2}+200^{2}$$

Add 10000 and 15625 to get 25625.

$$25625+175^{2}+150^{2}+200^{2}$$

Calculate 175 to the power of 2 and get 30625.

$$25625+30625+150^{2}+200^{2}$$

Add 25625 and 30625 to get 56250.

$$56250+150^{2}+200^{2}$$

Calculate 150 to the power of 2 and get 22500.

$$56250+22500+200^{2}$$

Add 56250 and 22500 to get 78750.

$$78750+200^{2}$$

Calculate 200 to the power of 2 and get 40000.

$$78750+40000$$

Add 78750 and 40000 to get 118750.

$$118750$$

Factor

$$2\times 5^{5}\times 19$$