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

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sometimes

it's only negative if it's being multiplied by a positive number. If it's being multiplied by another negative number than it will be positive.

In multiplication and division: always. In addition: never. In subtraction: sometimes.

No. A positive times a negative is always negative. A negative times a negative is always a positive.

The answer is always positive. If the signs are the same (positive by positive, negative by negative), then the quotient is always positive. If the signs are different (positive by negative, negative by positive), then the quotient is always negative.

Related questions

no sometimes there positive i

Sometimes.* If "n" is positive, "-n" is negative. * If "n" is negative, "-n" is positive. * If "n" is zero, "-n" is also zesro.

Yes. But NOT always.

sometimes

it's only negative if it's being multiplied by a positive number. If it's being multiplied by another negative number than it will be positive.

In multiplication and division: always. In addition: never. In subtraction: sometimes.

No. A positive times a negative is always negative. A negative times a negative is always a positive.

It is always positive, and not just for decimal numbers but for all numbers.

never

The answer is always positive. If the signs are the same (positive by positive, negative by negative), then the quotient is always positive. If the signs are different (positive by negative, negative by positive), then the quotient is always negative.

always a positive

Yes, a negative number subtracted from a positive number will always be positive. Subtracting a negative number is the same as adding the opposite of the negative number. The opposite of a negative number is always positive. A positive number plus a positive number is always positive.