A student carried out the textbook construction for representing 5 on the number line. Answer the following questions related to this construction.
a. (i) State the meaning of 5 in terms of the square of a positive real number.
b. (ii) Explain, with reference to the Pythagoras theorem, why the distance obtained in the construction is exactly 5 units.
c. (iii) Justify that the point representing 5 lies between the integers 2 and 3 on the number line.