Answer:
Irrational numbers
Step-by-step explanation:
To find out which subsets of real numbers [tex]\sqrt{42}[/tex] is in, we can look at what it does not fall into.
Natural numbers- These include 1, 2, 3..., which means that [tex]\sqrt{42}[/tex] cannot be a part of it
Whole numbers - These include 0, 1, 2 ..., which means that [tex]\sqrt{42}[/tex] cannot be a part of it
Integers- These include -2, -1, 0, 1, 2..., which means that [tex]\sqrt{42}[/tex] cannot be a part of it.
Rational - These include all the previous as well as anything that can be written as a fraction, which means that [tex]\sqrt{42}[/tex] cannot be a part of it
Irrational numbers - This includes anything that continues on endlessly, which this does when converted to a decimal, which means that this is the subset of real numbers that [tex]\sqrt{42}[/tex] belongs.