Answer: The answer is 5 and 6.
Step-by-step explanation: We are to find the two integers between which the square root of 29 lie.
Let the two integers be 'x' and 'y'.
So,

Since 'x' is an integer less than 5.38, so it must be 5. Also, 'y' is an integer that is greater than 5.38, so it will be 6.
Therefore, the two integers are 5 and 6.
Thus, the answer is 5 and 6.