What the title says. Just root -1 or -7890
2007-05-14 09:21:31 · 15 answers · asked by the shizz 1 in Science & Mathematics ➔ Mathematics
An imaginery number, represented by i.
Therefore root of -1 would be imaginery 1.
Root of -16 would be imaginery 4.
2007-05-14 09:23:24 · answer #1 · answered by mjallan123 2 · 1⤊ 0⤋
The short answer:
Square roots of negative numbers do not have any real value. This is because there is no real number (that is, any number on the number line) which when squared will give you a negative number. If x<0, then x^2 is positive. if x>0, x^2 is positive. And if x = 0, then x^2 = 0. Since you can't square a number and get a negative number back, there is no real value for things like â-5.
The long answer:
It's possible to express square roots of negative numbers as "imaginary numbers". This is when you let i = â-1, and factor the square root in terms of i. For example,
â-7890 = â(-1 * 9 * 2630) = 3iâ2630.
Any number in the form of a+bi where a and b are real are called "complex numbers". All real numbers are complex numbers where b=0. Complex numbers have lots of applications.
2007-05-14 16:33:32 · answer #2 · answered by Anonymous · 0⤊ 0⤋
An imaginary number... Thing is, there CAN'T be a square root for a neg. number. Reason - -2 * -2 = (positive) 4. So, the imaginary number theory deals with the thought that there must be a sqrt for a negative number...
I'd help more, but I'm not even doing A Level yet. Still, I know quite a bit for my age, no? ;)
2007-05-14 16:43:12 · answer #3 · answered by ? 4 · 0⤊ 0⤋
The square root of -1 is represented by the symbol i.
If you are asked for the square root of say -16 you know that the square root of -16 equals the square root of 16 times the square root of -1. Using i therefore the square root of -16 would be 4i. For any negative number the square root will be the square root of the number (ignoring the negative sign) multiplied by i.
2007-05-14 16:29:39 · answer #4 · answered by UrHero 3 · 0⤊ 0⤋
The square root of -1 is represented by the symbol i.
If you are asked for the square root of say -16 you know that the square root of -16 equals the square root of 16 times the square root of -1. Using i therefore the square root of -16 would be 4i. For any negative number the square root will be the square root of the number (ignoring the negative sign) multiplied by i.
2007-05-14 16:27:15 · answer #5 · answered by Jeffrey O 3 · 0⤊ 0⤋
Just tried it on my computer calculator and it said 'invalid input for function' Well 2 negatives makes a positive, the two numbers have to be the same so I don't think a negative number can have a square root.
2007-05-14 17:26:34 · answer #6 · answered by Grinning Football plinny younger 7 · 0⤊ 0⤋
what root -1 means is a -1 in a square root sign. you can not square root a negative number because no number times multiplied by itself will be negative. when you do get a negative number to square root it is called an imaginary number.
2007-05-14 16:34:51 · answer #7 · answered by Anonymous · 0⤊ 0⤋
the square root of a negative number is defioned to be the following:
the sqrt(-1) is defined to be i.
thus, the sqrt(-9) = sqrt(-1) * sqrt(9) = 3i
the sqrt of a negative number is defined as an imaginary number. an imaginary number has the letter i as part of it.
sqrt(-100) = 10i
2007-05-14 16:28:47 · answer #8 · answered by Anonymous · 0⤊ 0⤋
the square root of -1 is i
the square root of -100 is 10i
2007-05-14 16:49:17 · answer #9 · answered by Mr. Smith 5 · 0⤊ 0⤋
sq rt of -1 = i
So, sq rt of -7890 = sq rt (-4*5*3*7*19)=
2i sqrt of (1995)
2007-05-14 16:29:59 · answer #10 · answered by danjlil_43515 4 · 0⤊ 0⤋