# What set of numbers does the square root of 6 belong?

Root 6 is an irrational [real] number.

### What set of numbers does the square root of 121 belong to?

The square root of 121 is rational, an integer, and a natural number.

### What kind of number system is a square root?

A square root is not a number system. Square roots of non-negative numbers may be rational or irrational, but they all belong to the set of real numbers. The square roots of negative numbers do not. To include them, the number system needs to be extended to the complex numbers.

### Which subset does the square root of 13 belong in?

It belongs to many many subsets including: {sqrt(13)}, The set of square roots of integers The set of square roots of primes The set of square roots of numbers between 12 and 27 {3, -9, sqrt(13)} The set of irrational numbers The set of real numbers

### Which number belongs to the set of imaginary numbers 2?

2 does belong to the set of imaginary numbers. Any real number is also imaginary. Imaginary numbers are the set of all numbers that can be expressed as a +b*i where "i" is the square root of negative one and "a" and "b" are both real numbers.

### Which set of numbers contain square root of 5?

The sets of numbers that are the Square root of 5 are: 25 125

### What can you find in square numbers?

The attribute that they have one square root which belongs to the set of natural numbers.

### Is the set 0 1 closed under extraction of square root?

No. The square roots of 0.25 are 0.5 AND -0.5, the second of which does not belong to the set.

### Is the square root of negative 6 irrational?

No, it is not irrational because it is a square root of a negative number - which falls into the set of Complex numbers. Irrational numbers can not have an imaginary component.

### What are nonreal numbers?

The set of imaginary numbers contains the square root of negative one and its multiples.

### Which group of sets does the number square root of 30 belong to?

To any set that contains it! It belongs to {sqrt(30)}, or {45, sqrt(30), pi, -3/7}, or irrational numbers, or real numbers between -6 and 6, or all real numbers or complex numbers, etc.

### What is a set of square numbers?

There is just one set of square numbers; it is the set of all numbers which are squares of whole numbers:- i.e 1, 4, 9, 16, 25, 36, 49, ... and so on up to infinity in other words, it's the set of all numbers whose square root is a whole number.

### What is the square root of negative 340?

That's the same as the square root of positive 340, times i. Many calculators can't calculate the square root of negative numbers, since they are not set up to calculate with complex numbers, but you can simply calculate the square root of the equivalent positive number, then add "i" to the result.

### Name the set of numbers which 3 does not belong?

The set of numbers which 3 does not belong is the set of even numbers.

### Which two numbers have square roots equal to themselves?

The square root of zero is zero and the square root of one is one. No other real numbers have square roots equal to themselves. In other words, the solution set to x=x2 is {0,1}

### What set does -1 belong to intergets or rational or both?

Integers are numbers with no fractional part. Rational numbers are those that can be expressed as a fraction (unlike pi or square root of 2). The number -1 is both because it has no fractional part and can be expressed as -1/1.

### Why is it important to have categories of numbers in math?

It is important to know whether the category to which the answer belongs. For example 45/30 = 1.5 However, if the question was how many 30 seater buses do you need for 45 people, the answer cannot be 1.5. You cannot have half a bus! So the answer needs to belong to the set of whole numbers. Different mathematical operations result in answers which result in numbers from a more complicated category. The starting point… Read More

### What are set of complex number?

Complex numbers are numbers of the form (x + yi) where x and y are real numbers and i is the imaginary square root of -1. Any collection of such numbers is a set of complex numbers.

### What do you call the set of infinite decimals and non perfect square root?

Infinite decimals: irrational numbers; Non-perfect square roots: a subset of irrational numbers.

### What set contains the square root of 7?

Could be anything! For example: {sqrt(7)} is one such set. Probable "desired" answer is the set of irrational numbers

### Explain why it is not possible to take a square root of a negative number?

Actually, it is. It just depends within what set you are doing your calculation, that is, what do you consider an "acceptable solution". The question of the square root means, which number, when squared, gives a specific number. Within the real numbers, the square of a positive number is positive, the square of a negative number is also positive. Therefore, there are no real numbers whose square is negative. Within the complex numbers, the square… Read More

### Why is negativeroot not define?

The negative root is not defined because if you multiply two negative numbers together, the product is still positive. 2*2 =4 (-2)*(-2) =4 So, there is no real answer to the square root of a negative number. In higher math however, the square root of negative one is actually defined as i. The set of i is a set of imaginary numbers, and they have some special properties.

### What set of numbers does 4 belong?

Natural (counting) numbers; integers; rational numbers; real numbers; complex numbers. And any other set that you choose to define, that happens to include the number 4 - for example, the set of square numbers, or even numbers, the set of the numbers {3, 4, 5, 7, 14, 48}, etc, the set of numbers containing the letter o in their English name.

### What do you called the set of infinite decimals and non perfect square root?

The set of real numbers. Note that this also includes terminating decimals and integers.

### How many square roots dose a positive number have?

The square root of positive number can be ether a matched set of positive or negative numbers. As an example the square root of 4 can be either (-2 x -2) or (+2 x +2)

### What is the geometric mean of 12 and 6?

The geometric mean of the set { 12, 16 } is the square root of 192, or approximately 13.856. To find a geometric mean from a set of numbers, you find the product of the members of the set, and then take the nth root of that product, where n equals the count of the number of members in the set. Given the set { 12, 16 } our count is 2. Therefore, we will… Read More

### Why can't you square root?

Technically, you can. The set of imaginary numbers contains i, the symbol for the square root of negative one. But in the real world, a square is something multiplied by itself. You can't find two of the same things that will multiply to create a negative number.

### Which set of numbers does -3.5 belong to?

To any set that contains it! It belongs to {-3.5}, or {-3.5, sqrt(2), pi, -3/7}, or all numbers between -43 and 53, or multiples of 0.5, or rational numbers, or real numbers, or square roots of 12.25, or complex numbers, etc.

### What does real value mean in math?

The complex field is a set of which the real numbers are a subset. Among other things, negative numbers also have square roots in the complex field. In the complex field, the square root of -2.25 is Â±1.5i where i represents the imaginary square root of -1. The real value can refer to the "Â±1.5" which precedes i.

### What set of numbers does -14 belong to?

There are many sets of numbers -14 belongs to: set of negative integers set of rational numbers set of real numbers set of complex numbers, which is the biggest known number set

### What set of numbers does 30 belong to?

To any set that contains it! It belongs to {30}, or {45, sqrt(2), 30, pi, -3/7}, or all whole numbers between 23 and 53, or multiples of 5, or square roots of 900, or composite numbers, or counting numbers, or integers, or rational numbers, or real numbers, or complex numbers, etc.

### What is closed under subtraction?

The set of all integers; the set of all rational numbers; the set of all real numbers; the set of all complex numbers. Also their multiples - for example the set of all multiples of 2; the set of all multiples of 2.5; the set of all multiples of sqrt(17); the set of all multiples of 3 + 4i where i is the imaginary square root of -1.

### What is an unreal number?

Imaginary and complex numbers are an extension of the Real Number system. They are not called unreal. An imaginary number is a non-existent number, like the square root of a negative number. For example, the square root of -4 is 2i (i stands for imaginary). There are also complex numbers, which are defined as the sum of a real number and an imaginary number (e.g. 4 + 3i). An imaginary number does not exist, but… Read More

### What set does a negative fraction belong to?

It belongs to the set of negative rational numbers, negative real numbers, fractionall numbers, rational numbers, real numbers.

### What set of number does -1 belong?

To any set that contains it! It belongs to {-1}, or {45, sqrt(2), -1, pi, -3/7}, or all whole numbers between -43 and 53, or square roots of 1, or negatives of counting numbers, or integers, or rational numbers, or real numbers, or complex numbers, etc.

### What set of numbers does 0 belong to?

Its an imperial number Its belong to rational, whole, and integars.

### How can a number belong to more than one set of numbers?

A set is just a way of describing numbers, and numbers can be described in more than one way. If set A is (for example) all positive prime numbers, and set B is all numbers between 0 and 10, then there are some numbers (2, 3, 5, and 7) that could belong to both sets.

### Hey whats the square root mean again?

The square root is the set the exponent to 1/2, meaning that the 2 exact same numbers multiply to that original number- where 1 is removed. e.g.: sqrt(64) = sqrt(8*8) = 8.

### Is zero rational or irrational?

Zero is several sorts of numbers. It is actually both. "Real numbers", "Rational numbers", "irrational numbers", "integers", "trancendental numbers", "cardinal numbers" and so forth, all have their own definitions. These definitions define a SET of numbers. A single number can belong to several SETs. Real numbers are numbers that can be written as an infinite decimal expansion. It includes numbers like fractions eg 1/7 and PI. Real numbers can also be split into algebraic and… Read More

### What set of numbers does pi belong to?

Real, complex, quaternion, etc. But more specifically it's a transcendental real number, not being the root of an integer polynomial (and certainly not the ratio of two integers).