expressions in terms of i
complex conjugates
add or subtract
multiply
powers of i & divide
100
Find the three factors of -48. One is a negative number and one is a perfect square.
-1x16x3
100
Complex conjugate pairs have opposite ____ numbers. (real or imaginary)
imaginary
100
Simplify (5 + 10i) + (-3 - 4i)
2 + 6i
100
Simplify 8 (-5 + 1i)
-40 +8i
100
Simplify i^9
i
200
What is the square root of -48 in terms of i?
4i square root of 3
200
What is the complex conjugate of -10i
10i
200
Simplify (10 + 8i)-(2 - 4i)
8 + 12i
200
Simplify -5i(3 - 4i)
-20 - 15i
200
Simplify i^80
1
300
What is the square root of -256 in terms of i?
16i
300
What is the complex conjugate of -10 + 5i?
-10 - 5i
300
The first step to simplify (3 + 4i)+(2 - 6i) is to do FOIL: 6 - 18i + 8i - 24i^2. TRUE OR FALSE. If false, explain.
FOIL is for multiplication
300
Simplify (3 + 2i)(3 - 2i)
13
300
Simplify (16 + 8i) / (4i)
2-4i
400
What is the -2√-175 in terms of i?
-10√7
400
What is the first step to simplify (-12 + 26i)/(2 + 4i)
multiply the fraction with (2 - 4i)/(2 - 4i)
400
Simplify (4 - 2i) - (-16 + 28i)
20 - 30i
400
Simplify (4 + i)(1 - 5i)
9 - 19i
400
Simplify -3i^15
3i
500
What is are all the solutions for the equation: -0.5x^2=2
-2i and 2i
500
What is the purpose of multiplying the denominator by the complex conjugate? (Hint1: i's cancel out. Hint2: i represents √-1)
To rationalize the denominator or get rid of the irrational numbers in the denominator.
500
(10 + 26i) - (10 - 26i) + (26 + 26i)
26+78i
500
Simplify (-7 + 4i)(3 + 9i)
-57 - 51i
500
Simplify (-12 + 26i) / (2 + 4i)
4+5i
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