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`        Find the no of values of n for which 2^8 + 2^11 + 2^n is a perfect square`
2 years ago

```							Dear student  2^8 + 2^11 + 2^n = 2^8 ( 1 + 2^3 + 2^(n-8) )= 2^8 (9 + 2^(n-8) ) Now for this to be a perfect square, 9 + 2^(n-8) sbould be a perfect square. Hence 9 + 16 = 25 is a perfect square. 2^(n-8) = 16 = 2^4n-8 = 4n = 12
```
2 years ago
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