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
Verified Correct Answer: C.
Step-by-Step Mathematical Solution
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
Source: Myschool Past Questions Archive (Record #36291)