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No, it is neither rational nor irrational. It is a complex number.

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Q: Is the square root of negative 1 irrational?
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Related questions

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.


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Is square root of -11 rational number?

The square root of negative 11 is an imaginary number, i.e., sqrt(-11) = sqrt(11) i where i is the imaginary unit = sqrt(-1). sqrt(11) is indeed irrational. In fact, the square root of any integer which is not a power of two is irrational.


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.


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No. For two reasons: 1) Negative numbers are not natural numbers 2) All natural numbers are rational numbers but the square root of 6 is an irrational number and thus cannot be a natural number.