The product of the squares of two positive integers is 900. How many pairs of positive integers satisfy this condition? Choose the correct choice from the following choices:
A) 0 B) 1 C) 2 D) 3 E) 4
Ans: E - 4 pairs   (xˆ2)(yˆ2) = 900 [square root both sides]   xy = 30   20 = 1x30, 3x10, 6x5, 5x6, 10x3, 30x1, 15x2, 2x15   Cancel the repeats   This leaves us with exactly 4 options.   Hence, 4
<result>E</result>
The product of the squares of two positive integers is 900. How many pairs of positive integers satisfy this condition?