I thought it was real... square of -x is the same as the square of +x
No. In general, the square root of a negative number is an imaginary number, which is not a real number.
The square root of a negative number is not real.
The square roots of any positive real number are a positive and a negative real number. The square roots of any negative real number are a positive and a negative imaginary number. The square roots of any imaginary number or any complex number are two complex numbers.
No, it is not, because real numbers include negative numbers. The square root of a negative number is an imaginary number
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.
Imaginary number
The square root of a negative number is considered an imaginary number, denoted as "i". In this case, the square root of -3 would be √(-3) = √3 * i. Therefore, the square root of -3 is not a real number, as real numbers are those that can be represented on the number line without involving "i".
You cannot get real square root of a negative number because two numbers multiplied by themselves are always positive You can always get a real cube root of a negative number because three negative numbers multiplied by themselves give a negative .
The square root of 100 is rational since it is not repeating.
Yes. In general, the square root of any non-negative number is a real number.
The square of a real number is always positive no matter which real number you start with. Therefore, a negative number squared is positive. For example: 2 * 2 = 4, -2 * -2 = 4.
When you multiply any number by itself, the result is always positive. You cannot take any real number and square it to get something negative. The square root of -36 is 6i.