What two perfect squares does 39 fall between

By definition, a perfect square is expressed as the product of two equal integers. It is important to know that a if a number is a perfect square, it does not ends in the followint integers: 2, 3, 7 or 8. Then, you must find two perfect squares that does not end in the numbers shown before and those numbers must be the result of multiply two equal integers. Therefore, you have:

36=6x6 (YES)

40 (NO)

44 (NO)

46 (NO)

49=7x7 (YES)

Therefore, the answer is: 6 and 7