Question

a.   Write  in the form , where a is an integer.

b.   Express  in the form , where b and c are integers.

Solution

a.
 

We are given;

Since ;

b.
 

We are given;

If we need a rational number in the denominator of a fraction, we need to follow procedure of  “denominator rationalization” as given below.

ü If the denominator is of the form  then multiply both numerator and denominator by .

ü If the denominator is of the form  then multiply both numerator and denominator by  .

ü If the denominator is of the form  then multiply both numerator and denominator by  .

We have algebraic formula;

Since ;