Question

Classify each number according to its most specific number set.

Answer 1

a. The expression is given

`\frac{-4}{\sqrt[]{9}}`

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

`\frac{\sqrt[]{-4}}{9}`

Since the expression is in the rational form that is the p/q form.

And also one number is the imaginary number.

`\sqrt[]{-4}=\sqrt[]{4}i`

Hence the expression is a rational number and imagnary number.

c. The expression is given

`9-\sqrt[]{-4}`

The expression is written as

`9-\sqrt[]{4}i`

Hence the expression is the complex number and there is also imaginary number

`\sqrt[]{4}i`

d. The expression is given

`-4-\sqrt[]{9}`

Simplify the expression

`-4-3=-7`

This is the integer.