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Sticky Note
If √n/3 is an even integer, which of the following could be the value of n?
  1. 144
  2. 27
  3. 64
  4. None of these
Explanation

If √n/3 is an even integer, let's denote this even integer as 2k.

√n/3 = 2k

√n = 6k

n = (6k)²

n = 36k²

For n to be one of the given options, let's check:

If k = 2, n = 36 * 2² = 36 * 4 = 144

So, n could be 144.

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