Final answer:
The square root of 29 (√29) falls between 5 and 6, closer to 5. A good approximation on a number line would be slightly above 5, say around 5.3 or 5.4.
Step-by-step explanation:
To answer the question regarding √29 (the square root of 29), we first need to understand that this value cannot be determined precisely without a calculator but can be approximated using knowledge of perfect squares that are close to 29. For instance, we know that 5² (or 5 squared) is 25, and 6² (or 6 squared) is 36. Since 29 falls between these two perfect squares, we can say that √29 will be a value between 5 and 6.
We can improve our approximation by recognizing that 29 is closer to 25 than to 36, so √29 will be closer to 5 than to 6. A reasonable approximation might be around 5.3 or 5.4 based on this proximity. Therefore, on a number line, we would place a dot slightly above the number 5, but well before we reach 6.