If xy = 16, find the least possible value of x + y. (x, y > 0)
Explanation:
We know, AM ≥ GM [equality occurs when the numbers are equal]
∴ For two numbers, x and y
⇒ x+y2 ≥ xy
⇒ x + y ≥ 2 × √16
⇒ x + y ≥ 8
∴ Least possible value of (x + y) is 8. [This happen when x = y = 4.]
Note: When product of two numbers is constant, their sum is least possible when the two numbers are equal (or as close to each other as possible).
Hence, option (c).
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