MATHEMATICS · Multi-part · CBSE · Mathematics · Number Systems · Number Systems
Problem
Let E=34a53a32a2, where a>0.
(i) Rewrite the denominator of E using rational exponents.
(ii) Find the least expression under a cube root that must be multiplied to the numerator and the denominator so that the denominator becomes a rational number.
(iii) Hence, rationalize the denominator of E and simplify the resulting expression, writing your final answer with positive integral exponents of a and no radical in the denominator.