Powers of i
i2
-1
(2 + 3i) + (4 + 5i)
6 + 8i
(8 + 7i) - (6 + 2i)
2 + 5i
(3 + 2i)(3 - 2i)
13
This number is equal to the square root of -1
i
i0
1
(9 + 2i) + (-3 + i)
6 + 3i
(9 + 2i) - (5 + 9i)
4 - 7i
(4 + 9i)(2 + 3i)
-19 + 30i
This number is composed of two terms: a real term and an imaginary term
complex number
i9
i
(-9 - 5i) + (5 + 2i)
-4 - 3i
(6 - 5i) - (2 - 3i)
4 - 2i
(3 - i)(2 + 8i)
14 + 22i
When you change the sign between the real and imaginary parts of a complex number you have found this.
The conjugate
i14
-1
(-8 - 6i) + (-1 - i)
-9 - 7i
(-7 + 3i) - (-1 - i)
-6 + 4i
(-3 + 7i)2
-40 - 42i
The number under a radical is called:
a radicand
i43
-i
-2i
(-5 - 7i) - (-5 - 7i)
0
(1.6 - 3.4i)2
-9 - 10.88i
This type of number includes any number that can be found on a number line (positive, negative, whole number, decimal, fraction, etc.)
Real number