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three-eight of the products of two number is 37 1/2. what is the square root of the product of the numbers

Sagot :

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]