The product of the squares of two positive integers is 100. How many pairs of positive integers satisfy this condition?
Answers.
A) 0 B) 1 C) 2 D) 3 E) 4
Ans: C - 2 pairs   (xˆ2)(yˆ2) = 100 [square root both sides]   xy = 10   10 = 1x10, 10x1, 2x5, 5x2   Cancel the repeats   This leaves us with exactly 2 options.   Hence, 2
<result>C</result>
The product of the squares of two positive integers is 100. How many pairs of positive integers satisfy this condition?