Evaluate and simplify the following expression with a rational denominator:
F=454x312x2, where x>0.
a. (i) Determine the smallest radicand that should be multiplied with the numerator and the denominator so that the denominator becomes a rational number.
b. (ii) Perform the multiplication, rationalize the denominator, and simplify F completely. Leave your answer without any radical in the denominator and use only positive exponents.