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

Mathematics

1 answer:

Travka [436]3 years ago

5 0

Answer: 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 → $\sqrt{900}=30$

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