Answer:
Explanation:
Based on the options provided, the square root that could be represented on the number line is option C, √79.
To determine this, we need to find the square root that falls within the given range on the number line.
1. Look at the number line and identify the range between the two tick marks. In this case, the range is between 8 and 9.
2. Evaluate each option by taking the square root.
a) √63 ≈ 7.94 - This is outside the range between 8 and 9.
b) √82 ≈ 9.06 - This is outside the range between 8 and 9.
c) √79 ≈ 8.89 - This falls within the range between 8 and 9.
d) √72 ≈ 8.49 - This is outside the range between 8 and 9.
3. Based on our evaluation, option C (√79) is the square root that falls within the range on the number line.
Therefore, the square root that could be the number shown on the number line is √79.