Solve 89^{2}+83^{2}+82^2+79^2+74^2+67^2

$$89 ^ { 2 } + 83 ^ { 2 } + 82 ^ { 2 } + 79 ^ { 2 } + 74 ^ { 2 } + 67 ^ { 2 }$$

Evaluate

$$37740$$

Solution Steps

Calculate 89 to the power of 2 and get 7921.

$$7921+83^{2}+82^{2}+79^{2}+74^{2}+67^{2}$$

Calculate 83 to the power of 2 and get 6889.

$$7921+6889+82^{2}+79^{2}+74^{2}+67^{2}$$

Add 7921 and 6889 to get 14810.

$$14810+82^{2}+79^{2}+74^{2}+67^{2}$$

Calculate 82 to the power of 2 and get 6724.

$$14810+6724+79^{2}+74^{2}+67^{2}$$

Add 14810 and 6724 to get 21534.

$$21534+79^{2}+74^{2}+67^{2}$$

Calculate 79 to the power of 2 and get 6241.

$$21534+6241+74^{2}+67^{2}$$

Add 21534 and 6241 to get 27775.

$$27775+74^{2}+67^{2}$$

Calculate 74 to the power of 2 and get 5476.

$$27775+5476+67^{2}$$

Add 27775 and 5476 to get 33251.

$$33251+67^{2}$$

Calculate 67 to the power of 2 and get 4489.

$$33251+4489$$

Add 33251 and 4489 to get 37740.

$$37740$$

Factor

$$2^{2}\times 3\times 5\times 17\times 37$$