Let x and y be the two numbers.
[tex]37 \frac{1}{2} = \frac{75}{2} [/tex]
[tex] \frac{3}{8} xy = \frac{75}{2} [/tex]
[tex](2)(8)[ \frac{3}{8} xy= \frac{75}{2} ](2)(8)[/tex]
6xy = 600
6xy = 600
6 6
xy = 100 ⇒ the product of two numbers, x and y.
Square root of the product of the two numbers, x and y
[tex] \sqrt{100} =10[/tex]
10 is the square root of the product of two numbers.
To check:
[tex] \frac{3}{8} (100) = \frac{75}{2} [/tex]
[tex] \frac{300}{8} = \frac{75}{2} [/tex]
[tex] \frac{75}{2} = \frac{75}{2} [/tex]
[tex] \frac{75}{2} =37 \frac{1}{2} [/tex]