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The square root of a real number is not always positive. The square root of any positive number is positive, the square root of zero is zero (not positive), and the square root of a negative number is complex (i.e. neither positive nor negative).

The square root of 16 = -4 or 4.

The square root of 0 = 0

The square root of -16 = -4i or 4i

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Q: Is the square root of any real number always positive?
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Related questions

When squaring a negative number if the factor is a negative and the exponent is positive will your answer be negative or positive?

If you square any real number it will always be positive.


When you square a negative number is it positive or negative?

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 square a number the number is positive?

When you square a real number the answer is positive,


Is the square root a real number?

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.


Why square root of negative 36 is not a real number?

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.


Why is square root of the number -9 not 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.


What is the principal square root of a positive real number is always sometimes or never a negative?

never a negative


Can a square of real number is a real number?

The square of a real number is always a real number.


Why is the square root of any real number is always sometimes or never positive?

Sometimes.The square root of a positive number is positive.The square root of zero is zero.The square root of a negative number is a complex number - if you want only real numbers, you can say that it is undefined, and many calculators will give you an error message.


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.


Why is it possible to find a real cube root of a negative number but not a real square root of a negative number?

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 .


Is the square of any real number is positive?

no. Because square of zero is neither positive nor negative.