Respuesta :

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.