The process of working with surds often involves rewriting fractions so that no…
MATHEMATICS · Multi-part · A Level · Mathematics · Algebra and Functions · Algebra and Functions
Problem
The process of working with surds often involves rewriting fractions so that no square root remains in the denominator.
Answer the following questions related to this idea.
(i) State what is meant by "rationalising the denominator" of a fraction that contains a square root.
(ii) Explain, with reason, whether the fraction 37 is considered to be in simplest form according to standard mathematical convention.
(iii) Without using a calculator, rationalise the denominator of 111 and write the final answer in its simplest form.