Question 152070
a)
choose an arbitrary irrational number, say 
{{{3+sqrt(2)}}}
To turn it into a rational number, we simply multiply it by 
{{{3-sqrt(2)}}}
The result is
{{{(3+sqrt(2))(3-sqrt(2))=3^2-(sqrt(2))^2=9-2 =7}}}
b)
choose an imaginary irrational number, say 
{{{2+i}}}
To turn it into an imaginary number, we simply multiply it by 
{{{2-i}}}
The result is
{{{(2+i)(2-i)=2^2-i^2=4-(-1)=4+1=5}}}