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

User FaNaJ
by
8.3k points

1 Answer

4 votes

Answer: k = 15

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 →
√(900)=30

User Jschr
by
7.8k points