identify the set of numbers that best describes the situation.

Question

question:roll a pair of number cubes and take the square root of the sum.

Number sets:Rational, irrational,integers, and whole numbers

Answer 1

Let's quickly define and give some examples of the various kinds of numbers here.

Whole Numbers: 0,1,2,3,4.. Any number that is a positive multiple of 1 or 0.

Integers: ...,-2,-1,0,1,2,... Any whole number and also all the negative "whole" numbers

Rational numbers: ...-2,-1,-1/2, -1/3, -1/4, ..., 0, ... 1/4, 1/3, 1/2, 1, 2... Any number that can be represented by the ratio of two integers

Irrational numbers: any real number that is NOT rational. Any number that cannot be represented by a rational number

So, we roll two dice and add the results, the possible results are 1,2,3,4,5,6,7,8,9,10,11,12

Then, take the square root of those numbers:

1

sqrt(2)

sqrt(3)

2

sqrt(5)

sqrt(6)

sqrt(7)

2*sqrt(2)

3

sqrt(10)

sqrt(11)

2*sqrt(3)

Some of these numbers (1,2,3) are whole numbers, integers, and rational numbers

The rest of these numbers are irrational (as are most square roots)

So I would say that the number set that represents the situation is actually the REAL numbers (all rational and irrational numbers)