Find the smallest value of k such that 2\(^2\) x 3\(^3\) x 5 x k is a perfect square.
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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
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