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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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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.


How do you get the square root of negative 144?

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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.