Numerical Properties for sqrt(2)
Rachel Hickman
Published Jan 20, 2026
Determine characteristics for √2
- Rational
- Irrational
- Natural
- Whole
- Imaginary
Square Root Check
Since √2 is a square root, we use our square root calculator to get 1.4142135623731
Natural Number Test
Counting numbers > 0: 1,2,3,4,5,...
Since 1.4142135623731 is not both positive and a counting number, 1.4142135623731 is not a natural number
Whole Number Test
Whole Numbers are positive numbers
They include 0
They have no decimal or fractional parts
Since 1.4142135623731 is not >= 0 and an integer, 1.4142135623731 is not a whole number
Integer Test
Integers have no fractions or decimals
-5,-4,-3,-2,-1,0,1,2,3,4,5,...
1.4142135623731 is not an integer
Rational Number Test
Rationals = a/b
where a and b are integers<
and b ≠ 0.
Irational Number Test
They do not form a ratio between two integers
They are not an imaginary number.
Since 1.4142135623731 is a non-whole square root
1.4142135623731 is not a rational number
Since 1.4142135623731 is a non-whole square root, 1.4142135623731 is not a rational number
Imaginary Number Test
Test for square root of a negative
Since 1.4142135623731 is not the square root of a negative number, it is not imaginary
Final Answers
- Irrational
You have 1 free calculations remaining
What is the Answer?
- Irrational
How does the Rational,Irrational,Natural,Integer Property Calculator work?
Free Rational,Irrational,Natural,Integer Property Calculator - This calculator takes a number, decimal, or square root, and checks to see if it has any of the following properties:
* Integer Numbers
* Natural Numbers
* Rational Numbers
* Irrational Numbers
Handles questions like:
Irrational or rational numbers
Rational or irrational numbers
rational and irrational numbers
Rational number test
Irrational number test
Integer Test
Natural Number Test
This calculator has 1 input.
What 4 formulas are used for the Rational,Irrational,Natural,Integer Property Calculator?
A number is natural if it is one of the counting numbers (greater than 0), i.e., 1,2,3,4,5,...Whole Numbers are positive numbers, including 0, with no decimal or fractional parts
Integers are a whole number (no fractions or decimals) positive or negative including the number 0, ...,-5,-4,-3,-2,-1,0
Imaginary numbers are the square root of a negative number
For more math formulas, check out our Formula Dossier
What 7 concepts are covered in the Rational,Irrational,Natural,Integer Property Calculator?
- imaginary number
- a real number multiplied by the imaginary unit i, which is defined by its property i2 = -1.
- integer
- a whole number; a number that is not a fraction
...,-5,-4,-3,-2,-1,0,1,2,3,4,5,... - irrational number
- a number that can NOT be expressed as the quotient or fraction p/q of two integers
- natural number
- the positive integers (whole numbers)
1, 2, 3, ... - rational number
- a number that can be expressed as the quotient or fraction p/q of two integers
- rational,irrational,natural,integer property
- whole number
- numbers that include natural numbers and zero
{0, 1, 2, 3, ...}
