Evaluate the following difference and express the result in its simplest radical form.
MATHEMATICS · Multi-part · CBSE · Mathematics · Number Systems · Number Systems
Problem
Evaluate the following difference and express the result in its simplest radical form.
(i) Rationalise each denominator in the expression 4+33−4−33.
(ii) Simplify each fraction obtained in part (i) and hence find the exact value of the entire expression.
(iii) Show that the final result is a rational number even though both original denominators were irrational.