1. If x and y are positive real numbers and xy = 8, then the minimum value of 2x + y is
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By: anil on 05 May 2019 01.57 am
As $$x$$ & $$y$$ are positive real numbers, we can use AM $$geq$$ GM Let two numbers be $$2x$$ and $$y$$ => $$frac{2x + y}{2} geq sqrt{2xy}$$ => $$2x + y geq 2sqrt{16}$$ => $$2x + y geq 8$$ => Minimum value of $$(2x + y)$$ is 8
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