Using Conjugates with Complex Numbers
Algebra · Flashcards · Application
ALGEBRA · FLASHCARDS
Card 1
of 31
0 got it
0 to review
Current
Got it
Still learning
Not seen
QUESTION
What is
2
−
2
i
2
+
2
i
\frac{2-2i}{2+2i}
2
+
2
i
2
−
2
i
written as
a
+
b
i
a+bi
a
+
bi
?
QUESTION
What is
∣
3
+
4
i
1
−
2
i
∣
\left|\frac{3+4i}{1-2i}\right|
1
−
2
i
3
+
4
i
?
QUESTION
What is
4
1
−
3
i
\frac{4}{1-3i}
1
−
3
i
4
written as
a
+
b
i
a+bi
a
+
bi
?
Tap to flip before you grade
ANSWER
2
5
+
6
5
i
\frac{2}{5}+\frac{6}{5}i
5
2
+
5
6
i
. Multiply by conjugate
1
+
3
i
1+3i
1
+
3
i
:
4
(
1
+
3
i
)
(
1
−
3
i
)
(
1
+
3
i
)
=
4
+
12
i
10
\frac{4(1+3i)}{(1-3i)(1+3i)}=\frac{4+12i}{10}
(
1
−
3
i
)
(
1
+
3
i
)
4
(
1
+
3
i
)
=
10
4
+
12
i
Swipe → got it · swipe ← still learning
Got it
Still learning
Flip Card
Previous card
Next card