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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.
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Q: Why is the square root of any real number is always sometimes or never positive?
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Related questions

Why is the square of a number always a positive number?

The square of a number is always two numbers multiplied together. A positive times a positive is always positive, and a negative times a negative is always positive.


Why is any number raised to a even power positive?

A positive number times a positive number is always positive. A negative number times a negative number is always positive. Therefore, any square number will be positive. Any number to the fourth power (a square times a square) will always be positive. And so on.


How do you find whether the square of any nonzero number is sometimes always or never a positive number?

Remember that when two numbers with the same sign are multiplied,their product is always positive.


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

never a negative


Is the square root of a positive number an irrational number?

Sometimes the square root of a positive number can be irrational, as in the square root of 2 (which is a non-perfect square number), but sometimes it is a rational number, as in the square root of 25 (which is a perfect square number).


Is the square of a number irrational Always sometimes never?

The square of a rational number can be either rational or irrational. However, the square of an irrational number is always irrational.


Is the square root of any real number always positive?

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


When can the square of a negative number be negative?

This can never be. The square of any number will always be positive. Any positive number multiplied by another positive number will be positive, while any negative number multiplied by another negative number will be positive.


Is the square of -8 a rational number?

The square of a negative number is always positive. The square of -8 = 64, a rational number


What is the square root of a whole number always?

a positive integer


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.


Why is the last term of a perfect square trinomial always positive?

This is related to the fact that the square of both a positive and a negative number is always positive. The last term is simply the square of the second term, in the original binomial.