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For what value of n will make 2^8 + 2^10 + 2^n be a perfect square number?

Sagot :

N = 4 
Why?
2 to the power of 8 is 256
2 to the power of 10 is 1024
2 to the power of is 16

256 + 1024 + 16 = 1296. 1296's square root is 36.
36 x 36 = 1296. So N =4

Can you make this the best answer? I just take a lot of time to solve this :(