classify each number according to its most specific number set.

a. The expression is given
[tex]\frac{-4}{\sqrt[]{9}}[/tex]The expression is in the rational form that is the p/q form.
Hence the given expression is a rational number.
b. The expression is given
[tex]\frac{\sqrt[]{-4}}{9}[/tex]Since the expression is in the rational form that is the p/q form.
And also one number is the imaginary number.
[tex]\sqrt[]{-4}=\sqrt[]{4}i[/tex]Hence the expression is a rational number and imagnary number.
c. The expression is given
[tex]9-\sqrt[]{-4}[/tex]The expression is written as
[tex]9-\sqrt[]{4}i[/tex]Hence the expression is the complex number and there is also imaginary number
[tex]\sqrt[]{4}i[/tex]d. The expression is given
[tex]-4-\sqrt[]{9}[/tex]Simplify the expression
[tex]-4-3=-7[/tex]This is the integer.