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If the product of two positive numbers is 256 then the least v

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If the product of two positive numbers is $256$ then the least value of their sum is

32

16

48

40

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If the product of two positive numbers is

256

then the least value of their sum is

6 mins ago

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Text solutionVerified

x y = 256

s = x + y

s = x + \frac{256}{x}

use AM & GM

\frac{x + \frac{256}{x}}{2} \geq (x \times \frac{256}{x})^{\frac{1}{2}}

x + \frac{256}{x} \geq 32

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Question Text	If the product of two positive numbers is $256$ then the least value of their sum is
Answer Type	Text solution:1
Upvotes	150