Solution:

(i) The statement given is compound statement whose components are,

$P$: All rational numbers are real.

$\sim p$: All rational numbers are not real.

$q$: All rational numbers are complex.

$\sim q$: All rational numbers are not complex.

$p\wedge q$$=$ All rational numbers are real and complex.

$\sim \left( p\wedge q \right)=\sim p\vee \sim q=$ All rational numbers are neither real nor complex.

Solution:

(ii) The statement given is compound statement whose components are,

$P$: All real numbers are rational.

$\sim p$: All real numbers are not rational.

$q$: All real numbers are irrational.

$\sim q$: All real numbers are not irrational.

$\left( p\wedge q \right)=$ All real numbers are rationals or irrationals.

$\sim \left( p\wedge q \right)=\sim p\vee \sim q=$ All real numbers are neither rationals nor irrationals.