$\"\"$

Consider the two positive numbers be $\"\"$ and $\"\"$ .

The product of two numbers is $\"\"$ .

$\"\"$

Consider the function be the sum of two numbers is $\"\"$ .

$\"\"$

When sum is minimum then its first derivative becomes zero.

Apply derivative on each side with respect to $\"\"$ .

$\"\"$

Equate $\"\"$ to zero.

$\"\"$

Substitute $\"\"$ in $\"\"$ .

$\"\"$

Therefore the positive numbers are $\"\"$ and $\"\"$ .

$\"\"$

The positive numbers are $\"\"$ and $\"\"$ .