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For the same reason that the square root of ANY negative number is not a real number.Real numbers are positive, negative, or zero.

* The square of a positive number is a positive number.

* The square of a negative number is a positive number.

* The square of zero is zero.

In other words, in no case will you get a REAL number whose square is a negative number. The square roots of negative numbers are said to be "imaginary" - a name given for historical reasons. They are just as "real" or "unreal" as the so-called real numbers, but the point is that they are a different kind of numbers.

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7y ago
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7y ago

The square of every negative or positive real number is positive. Therefore the square root of a negative number cannot be real.

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Q: Why is square root of the number -9 not a real number?
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Related questions

Is the square root of 81 a real number?

Yes. It's 9. The square root of every positive real number is a real number.


Is the square root of nine a real number?

Yes, the square root of 9 is 3.


The nonnegative square root of a number?

The unique nonnegative square root of a nonnegative real number. For example, the principal square root of 9 is 3, although both -3 and 3 are square roots of 9.


Is the square root of -9 a rational irrational or not a real number?

It is not a real number.


What is the difference between a square root and a square number?

3 is the square root of 9. 9 is a square number. 9 is the square root of 81. 81 is a square number.


What is the square root of the number 9?

The number 3 is the square root of the number 9 !


What is the square root of a triangle?

A square root is a numerical function. The square root of a non-negative real number is a real number which, when multiplied by itself, produced the given the number. So, for example, given the number 9, its square roots are -3 and +3 since (-3)*(-3) = 9 and also, (+3)*(+3) = 9. Actually, negative numbers also have square roots but, judging by this question, you have not yet advanced to that level of mathematics. Meanwhile, a triangle is a geometric shape and cannot have a square root.


Which number has the square root of 9?

3 or -3. 32 = 9 and (-3)2 = 9 * * * * * +3 and -3 do not have the square root of 9 - they are the square roots of 9. The number 81 has the square root 9.


Is 9 square root an irrational number?

The square root of 9 is rational.


What is the sqare root of -9?

The square root of a number is a number, which, when multiplied by itself, gives the original number. The square root of 9 is 3.


What happens when you square the square root of a number?

You get the same number. For example: The square root of 9 is 3. 32 = 9


How do you square root in my maths?

the square root of a number is the number that is multiplied by itself to get that number, for example the square root of 9 is 3