The classifications that can describe the set of numers is:
Real
Rational
To solve this, let's convert all numebers to decimal:
[tex]-\sqrt[]{36}=-6[/tex]35% = 35/100 = 0.35
Then the set is:
{-6, 0.35, 2}
Let's see the options:
Whole can't be because there is a negative number and a decimal number.
Integer can't be because there's a decimal number.
Real can be used because those are all real numbers.
Natural can't be because there is a negative number and a decimal number.
Irrational can't be, because those are all rational numbers
Rational can be used, because all those numbers can be written as a fraction:
[tex]\begin{gathered} -6=-\frac{6}{1} \\ 0.35=\frac{35}{100} \\ 2=\frac{2}{1} \end{gathered}[/tex]Then, the only classifications that could be used are Real and Rational
