Actually there is a whole branch of mathematics (called complex mathematics) that is based on the roots of minus numbers.
The square root of -1 is taken to be i and the rest follows. Thus the square root of -43 would be 6.56i etc.
If you want to learn more about complex numbers look at:
http://en.wikipedia.org/wiki/Complex_numbers
Although complex numbers may be hard to understand as a physical quantity they have a wide range of applications (eg in a/c electricity).
2006-08-22 21:40:27
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answer #1
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answered by blind_chameleon 5
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It really depends on how complicated you want to make things or on how much maths you have done.
The simple answer is no - you cannot take the square root of a negative number as there is no number which when sqared would give a negative number [two negative numbers multiplied together give a positive answer, and two positive numbers multiplied together give a postive answer]
If you do a lot of Mathematics however you will come across Complex Numbers. 'i' is a complex number and is the square root of -1. Using this it is then possible to find the square root of negative numbers.
Lets look at the sqaure root of -43
That would be [root](-1)(43)
Which would be {[root]43}i
Hope that helps
2006-08-23 07:29:35
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answer #2
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answered by Numptyhead 2
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actually we call square root from A some positive number whic gives in result A if we multiply it on itself. but theres more definition for square root. if we r talkin about complex numbers then yeah every complex number has 2 square roots but they r coplex numbers too. in case of -43 its roots are equal to each other and its sqrt(43)*i
i can tell u how we get square root form copmlex numbers but im a bit lazy :D
2006-08-23 04:45:44
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answer #3
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answered by lika n 1
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In real life, square root of negative number makes no sense (has no meaning). For example, you cannot have a square with a negative area.
But anyway, we can get a square-root of a negative number. It is defined in complex number set, that square root of -1 is an imaginary unit i. And therefore square root of -43 is approx. ±6.56*i
2006-08-23 06:58:35
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answer #4
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answered by Anonymous
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It is possible to get a square root of a number. (In higher studies). The square root of a negative number is called a complex number, it is denoted as i.
The square root of -1 = i
e.g the square root of -43 = 43i
You can read up on this in mathematical books
2006-08-23 04:49:04
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answer #5
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answered by sauron s 2
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yes because all squares of minus numbers are positive numbers...
-1 times -1 is 1.
2006-08-23 05:50:22
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answer #6
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answered by greenfeces20 2
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u can get the square root of a negative number. teh square root of -1 is the imaginary number i. imaginary numbers are as real as 1, 2,3 etc
2006-08-23 04:44:58
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answer #7
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answered by steve t 2
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Yup - what number could you square to get a negative?
2006-08-23 04:44:24
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answer #8
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answered by Cedar 5
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Only with Complex Numbers can you have a negative SQRT.
2006-08-23 04:45:08
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answer #9
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answered by Anonymous
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You can use complex numbers. Take â(-43) for example.
By definition: Ã is called iota.
à = â(-1)
So -43 becomes:
â(-43) = â(43) * â(-1)
â(-43) = â(43) * Ã
â(-43) = ± 6â5574... * Ã
â(-43) = ± 6â5574..Ã
2006-08-23 04:59:14
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answer #10
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answered by Brenmore 5
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