Q: Is the square root of x and the square root of NEGATIVE x both rational and irrational?

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They are +5 and -5, which are both rational.

No, they are both rational.

No, no number can be both rational and irrational.

It will be irrational.

Integers are rational. In the set of real numbers, every number is either rational or irrational; a number can't be both or neither.

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They are +5 and -5, which are both rational.

Irrational (and a multiple of i), as the square root of 255 is irrational.

They are both rational.

No, they are both rational.

No. The square root of 49 is plus or minus 7, both of which are integers. And integers are rational numbers - whether they are positive or negative.

an irrarional number is a number that can't be written as a fraction or whole number. -sqrt(9)=-3 This is a whole number so it isn't irrational, just rational

No, no number can be both rational and irrational.

The sum, or difference, of two irrational numbers can be rational, or irrational. For example, if A = square root of 2 and B = square root of 3, both the sum and difference are irrational. If A = (1 + square root of 2), and B = square root of 2, then, while both are irrational, the difference (equal to 1) is rational.

The square roots of 16 are +4 and -4 . They're both rational numbers.

No. The square root of 49 is plus or minus 7, both of which are integers. And integers are rational numbers - whether they are positive or negative.

Yes. It can also be negative in the numerator. Both positive and negative numbers (as well as zero) can be rational numbers. Both positive and negative numbers can be irrational numbers. Both positive and negative numbers (as well as zero) can be integers.

No number can be both rational and irrational. And, at the level that you must be for you to need to ask that question, a number must be either rational or irrational (ie not neither). 0.555555 is rational.