Answer the following questions related to nth roots and areas of squares.
a. (i) State the definition of the nth root of a positive real number.
b. (ii) If the area of a square is Acm2, show that the length of each side of the square is Acm.
c. (iii) The area of a square field is 45m2. Explain why the side length of the field is an irrational number and write it in simplest radical form.