From a point O(2,−1) on a flat ground, two straight paths lead to two shops situated at A(−25,3) and B(4,−27).
a. (i) Find the distance OA in its simplest surd form.
b. (ii) Find the distance OB in its simplest surd form.
c. (iii) Which shop is nearer to O? Give a brief justification based on your results.