Question

Select the set or sets the real number, -144, belongs to. O Rational O Irrational O Natural Integer U Whole

Answer 1

`\begin{gathered} \text{ Firstly, let us evaluate the value of -}\sqrt[\square]{144\text{ }} \\ -\sqrt[\square]{144}=-12 \end{gathered}`

Rational numbers mean any number that can be represented in the form of p/q given that q is not equal to zero.

-12 can be written in this form, that is -12 = -12/1. This means Rational is a correct choice.

Irrational numbers mean the opposite of rational numbers as defined above, this means Irrational is a wrong choice.

Natural: A natural number is an integer greater than 0. Natural numbers begin at 1 and increment to infinity: 1, 2, 3, 4, 5, etc. For this question, -12 does not fall into this definition, hence, Natural is a wrong choice.

Integers: Integers mean whole numbers. They can be positive whole numbers or negative whole numbers. -12 is a whole number. Hence, Integer is a correct choice

Whole: Whole means positive integers or zero. -12 is not a positive number, this makes whole a wrong choice.

Hence, the correct choices are :

-Rational

-Integer