Evaluate and simplify the following expression with a rational denominator:
MATHEMATICS · Multi-part · CBSE · Mathematics · Number Systems · Number Systems
Problem
Evaluate and simplify the following expression with a rational denominator:
F=454x312x2, where x>0.
(i) Determine the smallest radicand that should be multiplied with the numerator and the denominator so that the denominator becomes a rational number.
(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.