You didn't say 10+12i or 10-12i
In the case of (10+12i), you would have a point in the xy plane @ x=10 and y=12
or (10,12)
In the case of (10-12i), you would have a point in the xy plane @ x=10 and y=-12
or (10,-12)
There are programs to "bend" photos with complex numbers.
Refer to the LINK and Source below.
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The negative square root of -144 is -12i - that is -12 times the square root of minus 1, ie √-144 = 12√-1. The above is a complex number, which I suspect is not the answer you wanted; there is no real number that is the square root of a negative number If you wanted the negative square root of 144, then it is -12.
The complex conjugate of a+bi is a-bi. This is written as z* where z is a complex number. ex. z = a+bi z* = a-bi r = 3+12i r* = 3-12i s = 5-6i s* = 5+6i t = -3+7i = 7i-3 t* = -3-7i = -(3+7i)
Yes.
|5 + 12i| = +sqrt(52 + 122) = +sqrt(25 + 144) = +sqrt(169) = 13
12i=1f.