Question

For which integer 'n' $2^{8} +2^{11} +2^{n}$ is a perfect square.

(A) 0 (B) 10

(C) 2 (D) 12
Answer fast ❤❤

Answer 1

n = 12
2^8 ( 1+ 2^3 + 2^ 4 )
2^8 ( 1+8+16 )
2^8 * 25 which is perfect square
So answer is n = 12