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The numbers that are equal to their own square roots are 0 and 1. This is because if ( x ) is a number, then ( x = \sqrt{x} ) leads to the equations ( x^2 = x ). Solving this gives ( x(x - 1) = 0 ), resulting in the solutions ( x = 0 ) and ( x = 1 ).

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3d ago

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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 is a number with a square roots that are whole numbers?

A number with square roots that are whole numbers is called a perfect square. Examples include 1 (with square roots of ±1), 4 (with square roots of ±2), and 9 (with square roots of ±3). In general, any integer that can be expressed as the product of an integer multiplied by itself is a perfect square.


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 are two numbers that equal the square root of 3?

The square root of any non-square number is always irrational, so there is no way to use numbers (other than square roots, surds and squares) to show it precisely.


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.

Related Questions

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 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.


What is a number with a square roots that are whole numbers?

A number with square roots that are whole numbers is called a perfect square. Examples include 1 (with square roots of ±1), 4 (with square roots of ±2), and 9 (with square roots of ±3). In general, any integer that can be expressed as the product of an integer multiplied by itself is a perfect square.


Numbers that are square roots that are whole numbers?

Every whole number


What is square root-?

I think you mean square root. The square root of a number is that number when multiplied by itself will give the original number. For example the original number is 4, then we know that 2 x 2 is 4, hence 2 is the square root of 4. We also know that -2 x -2 is also 4, hence 4 has two square roots, +2 and -2 Similarly 9 has two square roots, +3, and -3 Similarly 16 has two square roots, +4, and -4 Not all numbers have such whole numbers for their square roots. For example the square roots of 2 are nearly equal to +1.4142 and -1.4142. Similarly the square roots of 3 are nearly equal to +1.73205 and -1.73205


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 are two numbers that equal the square root of 3?

The square root of any non-square number is always irrational, so there is no way to use numbers (other than square roots, surds and squares) to show it precisely.


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.


How many square roots do negative numbers have?

Negative numbers do not have "real number" square roots.However, they will have two roots (when using imaginary numbers) as do other numbers, where a root including i(square root of -1) is positive or negative.


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.