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Square roots of negative numbers ARE possible. I guess you haven't been introduced to "imaginary numbers" and the letter "i".

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Q: Why are the properties of square roots only possible with nonnegative numbers?
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Related questions

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.


What do you call the nonnegative square root?

The principal square root.


Is a nonnegative square root called a principal square root?

Yes.


What do you call nonnegative square roots?

You call them principal square roots.


What is equal to two equals factors of my nonnegative number?

The square root.


What is a radical sign?

The symbol used to indicate a nonnegative square root.


What is one of two equal factors of a nonnegative number called?

The square root


What is the symbol used to represent the nonnegative square roots of a number?

There are no explicit symbols. The non-negative square toot is called the principal square root.


Why properties of square roots are true only for non negative numbers?

The square of a "normal" number is not negative. Consequently, within real numbers, the square root of a negative number cannot exist. However, they do exist within complex numbers (which include real numbers)and, if you do study the theory of complex numbers you wil find that all the familiar properties are true.


What is the nonnegative square root?

Every positive real number has two square roots: one negative and one positive. As a result, the square root mapping is one-to-many and so is not a mathematical function. One way to make it a function is to restrict the range to non-negative real numbers. These are the non-negative square roots.


What is the symbol used to indicate a nonnegative square root?

it looks like a check mark. it is called the radical. it looks like this --> √


What is the symbol used to represent the nonnegative square root of a number?

The radical symbol ( √ ) followed by a line above what's in the radical, designates positive square root.