Question

The product of two positive real numbers is 20. Find the least possible sum of two such real numbers

Answer 1

9 is the least possible sum the 2 nums r 4 and 5 if Im right ;)

Answer 2

@sneakergyrl is right if the numbers should be distinct otherwise the numbers would be \[2\sqrt{5}\] and \[2\sqrt{5}\]
And the least sum would be \[4\sqrt{5}\]

Answer 3

I think you should go with 4 and 5.

Answer 4

do you know how to solve it using calculus?

Answer 5

thanks @ShailKumar

Answer 6

So, if the numbers be x and y, then x*y = 20.
We want to minimize, s = x+y
So, s = x+20/x
Now find ds/dx and put it equal to zero to solve for x.

Answer 7

So would you have 1+20/x^2=0?

Answer 8

No

Answer 9

1-20/x^2=0

Answer 10

can you have a square root for your answer?

Answer 11

Yes, you are getting x = 2 sqr root 5, which is a real number.

Answer 12

Thank you!