Undefined. Sqrt(-16) is not a real number.
Neither. All irrational numbers are real numbers.Using the real number system you can't take the square root of a negative number, but if you're dealing with imaginary numbers then the square root of negative 3 is the square root of 3i
The square root of 0 is 0, which is a real 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.
"Examples of schematic diagram of the real number system?"
Imaginary and complex numbers are an extension of the Real Number system. They are not called unreal. An imaginary number is a non-existent number, like the square root of a negative number. For example, the square root of -4 is 2i (i stands for imaginary). There are also complex numbers, which are defined as the sum of a real number and an imaginary number (e.g. 4 + 3i). An imaginary number does not exist, but can nevertheless be useful in certain applications. An imaginary number is any number that is the product of a real number and the square root of negative one (-1). The square root of -1 is the "unit" of the set of imaginary numbers, and is referred to as "i". As you know, negative numbers cannot have square roots, and so the square root of any negative number is "imaginary". There are also "complex numbers", which are the sum of a real number and an imaginary number. For example 3 + 2i.
No, there is no real number that satisfies the equation √(-28). The square root of a negative number is not defined in the real number system. However, if we extend our number system to include complex numbers, we can define a square root of -28 as √(-28) = 2√7i, where i is the imaginary unit.
The square of a real number is always a real number.
Neither. All irrational numbers are real numbers.Using the real number system you can't take the square root of a negative number, but if you're dealing with imaginary numbers then the square root of negative 3 is the square root of 3i
Technically, every positive number is a square in the real number system, but I assume you mean perfect square. And yes, 225 is a perfect square. 152 = 225
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.
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I thought it was real... square of -x is the same as the square of +x
Of course, not only can it be a real number but it is a real number. When you take the square root times itself, the result is a number that is real.
The square root of seven is a real number, but it is not a whole number.
Real numbers are closed under addition and subtraction. To get a number outside the real number system you would have to use square root.
The square root of any positive real number (as in this case) is a real number. (Such square roots are usually irrational.)The square root of a negative real number, such as the square root of -15, is an imaginary, and therefore also a complex, number.
The square root of 0 is 0, which is a real number.