Find two positive numbers whose product is 181 and whose sum is a minimum.
A)$\sqrt { 181 } , \sqrt { 181 }$
B) $2 \sqrt { 181 } , \frac { \sqrt { 181 } } { 2 }$
C) 0,181
D) 1,181
E) $3 \sqrt { 181 } , \frac { \sqrt { 181 } } { 3 }$

Question

Find two positive numbers whose product is 181 and whose sum is a minimum. 
A)$\sqrt { 181 } , \sqrt { 181 }$
B) $2 \sqrt { 181 } , \frac { \sqrt { 181 } } { 2 }$
C) 0,181
D) 1,181
E) $3 \sqrt { 181 } , \frac { \sqrt { 181 } } { 3 }$

Quizplus · Accepted Answer

The sum of two numbers is minimized when the numbers are equal, given a constant product. Since the product of the two numbers is 181, setting them both to $\sqrt{181}$ ensures they multiply to 181 and their sum is the smallest possible.

Find Two Positive Numbers Whose Product Is 181 and Whose 181,181\sqrt { 181 } , \sqrt { 181 }181​,181​

Find Two Positive Numbers Whose Product Is 181 and Whose $\sqrt { 181 } , \sqrt { 181 }$