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Yes, because when x equals 1, the square root of x is rational and the square root of -x is irrational, and when x equals -1, the square root of x is irrational and the square root of -x is rational.

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โˆ™ 2013-01-27 00:26:49
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Q: Is the square root of x and the square root of NEGATIVE x both rational and irrational?
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Related questions

Is the square root of 36 an irrational or a rational number?

They are both rational.


Can a negative square root of 9 be both rational and irrational?

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


Is the square root of 25 rational or irrational?

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


Is square root of 49 irrational?

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.


Is 25 square root irrational?

No, they are both rational.


The difference of two irrational numbers is an irrattinal number?

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.


Are there numbers that are both rational and irrational?

No, no number can be both rational and irrational.


Is 0.555555 both rational and irrational rational neither rational nor irrational irrational?

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.


Is three an irrational number rational number both rational and irrational or neither rational or 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.


Is the square root of 49 irrational?

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.


When you multiply an irrational number by a rational number will the answer always be irrational rational or both?

It will be irrational.


Is negative 3 irrational?

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Is the square root of 16 an irrational or rational number?

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


Is the number below rational irrational both rational and irrational or neither rational nor irrational?

If it can't be expressed as a fraction then it is an irrational number


Can the product of any two irrational numbers be a rational number?

Yes. For example, if you multiply the square root of 2 (an irrational number) by itself, the answer is 2 (a rational number). The golden ratio (Phi, approx. 1.618) multiplied by (1/Phi) (both irrational numbers) equals 1 (rational). However, this is not necessarily true for all irrational numbers.


Is the product of two irrational numbers irrational?

Sometimes it is and sometimes it isn't. The square root of 2 and the square root of 3 are both irrational, as is their product, the square root of 6. The square root of 2 and the square root of 8 are both irrational, but their product, the square root of 16, is rational (in fact, it equals 4).


When is a number both rational and irrational?

It doesn't happen. A number cannot be both rational and irrational. It is possible for it to be NEITHER if it is not Real number, i.e. involves the square root of -1, i.e is an imaginary or complex number number.


Can a rational number be negative in the denominator?

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.


Which is a real number that is not a rational number?

Actually there are more irrational numbers than rational numbers. Most square roots, cubic roots, etc. are irrational (not rational). For example, the square of any positive integer is either an integer or an irrational number. The numbers e and pi are both irrational. Most expressions that involve those numbers are also irrational.


Can numbers be rational and irrational?

It can't be both at the same time. Irrational means "not rational".


If you take the square root of an irrational number.Will it be irrational too?

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Is the number 3 rational irrational both rational and irrational or neither rational?

The number 3 is a rational number (as is any integer).


Is 0737373 rational irrational both rational and irrational or neither rational?

It is rational.A number cannot be both rational and irrational.


Is square root of 16 is irrational number?

The square roots of 16 are +4 and -4. Both of them are rational numbers.


Can you multiply an irrational number by a rational number and the answer is rational?

The product of an irrational number and a rational number, both nonzero, is always irrational