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x2 - 1 is not a perfect square and thus does not have a square root. It does have two factors though, and those would be (x - 1) and (x + 1).

*** if x2-1 is in the square root symbol [also (x2-1)-2 ], you would end up with x+1-2 throught the process of distribution. (which is the same as saying the square root of 1)

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Q: What is the square root of x squared minus 1?
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Continue Learning about Calculus

What is 1 minus cos squared?

sin squared


Factor x squared plus x minus 10?

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If you want to work with real numbers, there is no answer. the square of any number, whether positive or negative, is a positive number, so x2 cannot be -3. If you accept complex numbers as a solution, the square root of minus 1 is called i (when squared, both i and -i give -1); the square root of -3 is equal to the square root of 3 times i, the square root of -4 is 2i, etc. Complex numbers are frequently used in some areas of science (electricity, quantum mechanics, and others); in other areas, it just doesn't make sense to use them. Similarly, for some problems fractional solutions, or negative solutions, may be acceptable, for others, not.


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Related questions

What is x squared minus 7 equals 1?

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If you mean 8i, i might be any variable, but it may also stand for the imaginary unit, sometimes defined as the square root of minus 1. In that case, 8i is 8 times the square root of minus 1.If you mean 8i, i might be any variable, but it may also stand for the imaginary unit, sometimes defined as the square root of minus 1. In that case, 8i is 8 times the square root of minus 1.If you mean 8i, i might be any variable, but it may also stand for the imaginary unit, sometimes defined as the square root of minus 1. In that case, 8i is 8 times the square root of minus 1.If you mean 8i, i might be any variable, but it may also stand for the imaginary unit, sometimes defined as the square root of minus 1. In that case, 8i is 8 times the square root of minus 1.