(a) (i) Simplify the set [(B - A) U A']'. (3)
(ii) Given the subsets A = [-2,6), B = (-5,3), C = (-1,8) of the set of real
numbers R, find the set AU (B'UC)'.
(
4)
(b) (i) Express (1 + vz) in the form a + bv2, where a and b are integers.
(ii) Express
V2
in the form p + qv2, where p and q are rational numbers.
(1+V2)2
(©) (1) Express 2.534 in the form where p and q are integers and q * 0, in its
a
(3)
lowest terms.
(3)
(ii) Simplify 5V6 - 2724 + V294.​