Final answer:
All the given square roots (√26, √27, √24, √20) can be represented on a number line because they all have real number values.
Step-by-step explanation:
The student's question asks which of the following numbers can be shown on a number line: √26, √27, √24, or √20. All square roots of positive numbers can be represented on a number line because they have real number values. Therefore, all options A, B, C, and D can be shown on a number line. For instance, √26 is approximately 5.099, √27 is approximately 5.196, √24 is approximately 4.899, and √20 is approximately 4.472. These are not exact numbers but estimations to the nearest thousandth to illustrate that each square root results in a positive real number that can be plotted on the number line.