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Bumek [7]
3 years ago
15

Find the smallest integer k such that 60k is aperfect square​

Mathematics
1 answer:
Travka [436]3 years ago
5 0

Answer:  k = 15

<u>Step-by-step explanation:</u>

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 =<u> 2 · 2</u> · 3 · 5

                                                        ↓

                                                     3 · 5   are not pairs

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

60 × 15 = 900      →          \sqrt{900}=30

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