If n is a multiple of 5 and n=p^2q where p and q a re prime numbers which of the following must be a myultiple of 25
a. p^2
b. p^2q^2
c.pq
d. q^2
e. p^3q
OA.D
a. p^2
b. p^2q^2
c.pq
d. q^2
e. p^3q
OA.D
the problem statement tells us that n/5 = I. it also tells us that n=p^2*q. therefore either p or q MUST be a multiple of 5.
only choice B - p^2 * q^2 gives us the affirmative that we will have 2 fives to cancel out the 25.
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