Determine the Type of Number 4 square root of 20

$4 \sqrt{20}$

There are six common sets of numbers.

Natural (Counting) Numbers: ${1, 2, 3, 4, 5, \dots}$

Whole Numbers: Natural Numbers and ${0}$

Integers: ${\dots, - 3, - 2, - 1, 0, 1, 2, 3, \dots}$

Rational Numbers: Integers, Fractions, and Terminating or Repeating Decimals

Irrational Numbers: Non Terminating or Non Repeating Decimals

Real Numbers: Rational Numbers and Irrational Numbers

Determine which sets the number fits into.

Irrational Numbers, Real Numbers