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Which is larger: ( 999999^1/2 + 1000001^1/2 ), or 2000 ?

Quote: Originally Posted by perash Which is larger: ( 999999^1/2 + 1000001^1/2 ), or 2000 ? It is true that for all x,y > = 0. We have that, sqrt(x)+sqrt(y)=>sqrt(x+y)