Solve 700^{2}+800^{2}+960^{2}+1000^{2}+1100^2+1200^2+1200^2+1340^2

$$700 ^ { 2 } + 800 ^ { 2 } + 960 ^ { 2 } + 1000 ^ { 2 } + 1100 ^ { 2 } + 1200 ^ { 2 } + 1200 ^ { 2 } + 1340 ^ { 2 }$$

Evaluate

$$8937200$$

Solution Steps

Calculate 700 to the power of 2 and get 490000.

$$490000+800^{2}+960^{2}+1000^{2}+1100^{2}+1200^{2}+1200^{2}+1340^{2}$$

Calculate 800 to the power of 2 and get 640000.

$$490000+640000+960^{2}+1000^{2}+1100^{2}+1200^{2}+1200^{2}+1340^{2}$$

Add 490000 and 640000 to get 1130000.

$$1130000+960^{2}+1000^{2}+1100^{2}+1200^{2}+1200^{2}+1340^{2}$$

Calculate 960 to the power of 2 and get 921600.

$$1130000+921600+1000^{2}+1100^{2}+1200^{2}+1200^{2}+1340^{2}$$

Add 1130000 and 921600 to get 2051600.

$$2051600+1000^{2}+1100^{2}+1200^{2}+1200^{2}+1340^{2}$$

Calculate 1000 to the power of 2 and get 1000000.

$$2051600+1000000+1100^{2}+1200^{2}+1200^{2}+1340^{2}$$

Add 2051600 and 1000000 to get 3051600.

$$3051600+1100^{2}+1200^{2}+1200^{2}+1340^{2}$$

Calculate 1100 to the power of 2 and get 1210000.

$$3051600+1210000+1200^{2}+1200^{2}+1340^{2}$$

Add 3051600 and 1210000 to get 4261600.

$$4261600+1200^{2}+1200^{2}+1340^{2}$$

Calculate 1200 to the power of 2 and get 1440000.

$$4261600+1440000+1200^{2}+1340^{2}$$

Add 4261600 and 1440000 to get 5701600.

$$5701600+1200^{2}+1340^{2}$$

Calculate 1200 to the power of 2 and get 1440000.

$$5701600+1440000+1340^{2}$$

Add 5701600 and 1440000 to get 7141600.

$$7141600+1340^{2}$$

Calculate 1340 to the power of 2 and get 1795600.

$$7141600+1795600$$

Add 7141600 and 1795600 to get 8937200.

$$8937200$$

Factor

$$2^{4}\times 5^{2}\times 22343$$