Find the smallest integer k such that 60k is a
perfect square

 k = 15

Step-by-step explanation:

60 times some number k must be a perfect square.

Factor 60 to see which values do not have a pair:

60 = 2 · 2 · 3 · 5   --> 60 = 2 · 2 · 3 · 5

                                                        ↓

                                                     3 · 5   are not pairs

So,  you need to multiply 60 by 15 to make a perfect square

60 × 15 = 900      →          

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step-by-step explanation: