what set does 5^1/2 belong in?
a: whole numbers
b: integers
c: rational numbers
d: irrational numbers
+23254 5 ^ (1/2) = √5
Whole numbers are: 0, 1, 2, 3, 4, ... (none of these, when squared will give you 5)
Integers: ..., -4, -3, -2, -1, 0, 1, 2, 3, 4, ... (again, none of these, when squared will give you 5)
Rational numbers are common fractions; √5 cannot be written as a common fraction; it can be written as a decimal fraction but the decimal never ends and never repeats; thus, it is an irrational number.
+23254 5 ^ (1/2) = √5
Whole numbers are: 0, 1, 2, 3, 4, ... (none of these, when squared will give you 5)
Integers: ..., -4, -3, -2, -1, 0, 1, 2, 3, 4, ... (again, none of these, when squared will give you 5)
Rational numbers are common fractions; √5 cannot be written as a common fraction; it can be written as a decimal fraction but the decimal never ends and never repeats; thus, it is an irrational number.
