Evaluate
squareroot of -100
if possible. If it is not possible, please explain why
2007-11-23 09:15:17 · 18 answers · asked by meme 1 in Science & Mathematics ➔ Mathematics
If we're talking about real numbers here, then it is not possible because you cannot take the square root of a negative number.
If imaginary numbers are allowed, then it is possible, but it's been a while since I've dealt with imaginary numbers, I would assume it would just be 10i or something though.
2007-11-23 09:18:34 · answer #1 · answered by topher098321 2 · 0⤊ 0⤋
You can't have a square root of a negative number. The answer can't be -10 because -10 X -10 would give you +100.
So in the real number system this is impossible. However if you use imaginary numbers (don't know if you have studied that yet the answer would be 10i.
2007-11-23 17:19:38 · answer #2 · answered by huckleberry 5 · 0⤊ 0⤋
As you know, any number, including a negative number, times itself will give a positive answer. So no natural number squared can equal -100. But -100 is (-1)(100). Have you learned what the square root of -1 is yet? You can use it as a part of the answer...Regards, Mike
2007-11-23 17:21:20 · answer #3 · answered by Mike M. 6 · 0⤊ 0⤋
it is possible but only using complex numbers.
we make up a number called i that is equal to the square root of -1.
therefore the square root of -100 can be written as the square root of 100 multiplied by the square root of -1. This simplifies to (positive or negative) 10i.
2007-11-23 17:19:47 · answer #4 · answered by rosstopherz19 2 · 0⤊ 0⤋
Negative numbers do not have square roots. This is because it takes a negative multiplied by a positive to produce a negative answer. To get negative 100, you would have to do 10 times -10, which are not the same number.
2007-11-23 17:24:09 · answer #5 · answered by Krysta 4 · 0⤊ 1⤋
â(-100) = â100 Ã â(-1)
= 10â(-1)
= 10i
2007-11-23 17:20:28 · answer #6 · answered by DWRead 7 · 1⤊ 0⤋
(-100)^1/2
= 10 + i
Where i is imagine part
that because square root of negative number is does not exist in real numbers
Well it belongs to a largest group which is imagine numbers
You well study them in Complex numbers
2007-11-23 17:23:32 · answer #7 · answered by Rayan Ghazi Ahmed 4 · 0⤊ 0⤋
â(-100) = â(100 i²) = ± 10 i
2007-11-23 17:33:46 · answer #8 · answered by Como 7 · 1⤊ 1⤋
w/o imaginary numbers it is not possible because of the negative. Using imaginary numbers, the answer is 10i.
2007-11-23 18:02:58 · answer #9 · answered by james w 5 · 0⤊ 0⤋
its not possible because a negative times a negative is a posotive. hence you cannot take the square root of any negative, including -100.
its basic logic.
2007-11-23 17:19:01 · answer #10 · answered by Anonymous · 0⤊ 1⤋