which list shows an accurate hierarchy of number sets within the real number system from largest to smallest

Irrational numbers, square roots, endless decimals, pi
Integers, rational numbers, natural number,
Rational number, integers, whole numbers, natural numbers,
Natural numbers, whole numbers, integers, rational numbers,

Irrational numbers, square roots, endless decimals, pi

The correct hierarchy of number sets within the real number system from largest to smallest is:

1. Irrational numbers
2. Real numbers (including both rational and irrational numbers)
3. Rational numbers
4. Integers
5. Whole numbers
6. Natural numbers

So, the correct answer is:

Irrational numbers, real numbers, rational numbers, integers, whole numbers, natural numbers.