Question

What type of number is - square root 13? Select all that apply.

Option 1: Rational
Option 2: Irrational
Option 3: Integer
Option 4: Whole Number
Option 5: Natural Number

Answer 1

-√13 is an irrational number; it's not rational, an integer, a whole number, nor a natural number, because it cannot be expressed as a fraction of integers or as a non-fractional number.

Step-by-step explanation:

The type of number represented by -√13 falls into the category of an irrational number. Rational numbers are numbers that can be expressed as a fraction with an integer numerator and a non-zero integer denominator. Since the square root of 13 cannot be expressed as such a fraction, it is not rational. Additionally, integers, whole numbers, and natural numbers are all subsets of rational numbers that consist of whole, non-fractional numbers. Because the square root of 13 is not a whole number and it includes the negative sign, -√13 is not an integer, not a whole number, and certainly not a natural number. Therefore, the only correct option is that -√13 is an irrational number.