Determine the Type of Number square root of 10

$\sqrt{10}$

Step 1

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

Step 2

Determine which sets the number fits into.

Irrational Numbers, Real Numbers