Square roots of negative numbers ARE possible. I guess you haven't been introduced to "imaginary numbers" and the letter "i".
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.
The principal square root.
You call them principal square roots.
Yes.
The symbol used to indicate a nonnegative square root.
The square root.
The square root
There are no explicit symbols. The non-negative square toot is called the principal square root.
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.
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.
it looks like a check mark. it is called the radical. it looks like this --> √
The radical symbol ( √ ) followed by a line above what's in the radical, designates positive square root.