Find the smallest value of k such that 2(^2) x 3(^3) x 5 x k is a perfect square.
-
A.
3 -
B.
5 -
C.
15 -
D.
30
Correct Answer: Option C
Explanation
2(^2) x 3(^3) x 5(^1) x k;
2(^2) x 3(^2) x 3 x 5 x k
2(^2) x 3(^2) x 15 x k
smallest value for k
2(^2) x 3(^2) x 15 = 2(^2) x 3(^2) x 15(^2)
k = 15