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A negative square root is not rational because it is typically represented as an imaginary number. For example, the square root of a negative number, such as -1, is expressed as "i," where i is the imaginary unit. Rational numbers are defined as numbers that can be expressed as the quotient of two integers, and imaginary numbers do not fit this definition. Thus, negative square roots are not considered rational.
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Is the negative square root of 100 rational or irrtional?
The negative square root of 100 is -10. Since -10 can be expressed as a fraction (-10/1), it is considered a rational number. Thus, the negative square root of 100 is rational.
Is negative square root of 4 rational or irrational?
It is rational.
Is the negative square root of nine rational or irrational?
It is rational. It is rational. It is rational. It is rational.
Is negative square root 144 rational or irrational?
The negative square root of 144 is -12. Since -12 can be expressed as a ratio of two integers (for example, -12/1), it is considered a rational number. Therefore, the negative square root of 144 is rational.
Is the square root of negative 108 rational?
No, the square root of negative 108 is not rational. The square root of a negative number involves imaginary numbers, specifically it can be expressed as ( \sqrt{-108} = \sqrt{108}i ), where ( i ) is the imaginary unit. Since rational numbers are defined as numbers that can be expressed as a fraction of two integers, and imaginary numbers cannot be represented in this way, the square root of negative 108 is not rational.
Is the negative square root of 100 rational or irrtional?
The negative square root of 100 is -10. Since -10 can be expressed as a fraction (-10/1), it is considered a rational number. Thus, the negative square root of 100 is rational.
Is negative square root of 36 rational or irrational?
rational
Is negative square root of 4 rational or irrational?
It is rational.
Is the negative square root of nine rational or irrational?
It is rational. It is rational. It is rational. It is rational.
Is negative square root 16 rational?
The negative square root of 16 is -4. It can be written as the ratio of 792 to -198, so it's rational.
Is negative square root 144 rational or irrational?
The negative square root of 144 is -12. Since -12 can be expressed as a ratio of two integers (for example, -12/1), it is considered a rational number. Therefore, the negative square root of 144 is rational.
Is the square root of negative 108 rational?
No, the square root of negative 108 is not rational. The square root of a negative number involves imaginary numbers, specifically it can be expressed as ( \sqrt{-108} = \sqrt{108}i ), where ( i ) is the imaginary unit. Since rational numbers are defined as numbers that can be expressed as a fraction of two integers, and imaginary numbers cannot be represented in this way, the square root of negative 108 is not rational.
What is an example of a rational number between the negative square root of four and the square root of four?
-1,0,or 1 the negative square root of four is negative two and the square root of four is two
Is the square root of negative one hundred rational?
No.
Is negative square root of 100 rational?
Yes it is.
Is the square root of x and the square root of NEGATIVE x both rational and irrational?
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.
Is the negative square root of 17 irrational or rational?
irrational
