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What are positive square roots called?
They are called real numbers. Negative square roots must be complex numbers.
Is there a number that doesn't have a square root?
Any negative number, and infinity. However, a number (called "i") was created to represent the square roots of negative numbers.
Why don't negative numbers have square roots?
They can, but they are called imaginary numbers. This is because a "square" of something is the number that, when multiplied by itself, will equal the first number. A negative multiplied by a negative equals a positive, and positives can't turn into negatives on their own, so there are no square roots of negative numbers.
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.
What has integers as its square roots?
Such a number is called a "perfect square".
What are positive square roots called?
They are called real numbers. Negative square roots must be complex numbers.
What are the numbers with square roots that are numbers?
A number with a square root is still a number. So the answer is all of them.
What does the square root of a number?
The square roots of a number are numbers and, as numbers, they are not capable of doing anything.
Is there a number that doesn't have a square root?
Any negative number, and infinity. However, a number (called "i") was created to represent the square roots of negative numbers.
What are numbers called that have square roots but are not a square number?
There is no specific name but they comprise the set of non-negative numbers other than perfect squares.
Why don't negative numbers have square roots?
They can, but they are called imaginary numbers. This is because a "square" of something is the number that, when multiplied by itself, will equal the first number. A negative multiplied by a negative equals a positive, and positives can't turn into negatives on their own, so there are no square roots of negative numbers.
What are rational numbers whose square roots are whole numbers called?
Rational numbers whose square roots are whole numbers are themselves whole numbers. They are called square numbers, e.g. 1, 4, 9, 16, 25 and so on.
Numbers that are square roots that are whole numbers?
Every whole 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.
What is the square roots for -41.2?
There are none. Negative numbers don't have square roots. Well, they do, but they are known as imaginary numbers, and there is no way to determine them. A square root of a number is a number you can multiply by itself and get the original number. There is no number you can multiply by itself to get a negative number, but every positive number has two square roots of the same absolute value.
What are numbers with square roots that are whole numbers?
They are called perfect squares.
Are all square roots rational numbers?
No, not all square roots are rational numbers. A rational number is a number that can be expressed as a fraction where the numerator and denominator are integers and the denominator is not zero. Square roots that are perfect squares, such as √4 or √9, are rational numbers because they can be expressed as whole numbers. However, square roots of non-perfect squares, such as √2 or √3, are irrational numbers because they cannot be expressed as a simple fraction.
