Find the smallest value of k such that 2\(^2\) x 3\(^3\) x 5 x k is a perfect square.
- 3
- 5
-
15
- 30
The correct answer is: 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