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Let’s check out your problem:
Express the radical using the imaginary unit,
i
i
i
.
\newline
Express your answer in simplified form.
\newline
±
−
38
=
±
□
\pm \sqrt{-38}= \pm \square
±
−
38
=
±
□
View step-by-step help
Home
Math Problems
Algebra 2
Introduction to complex numbers
Full solution
Q.
Express the radical using the imaginary unit,
i
i
i
.
\newline
Express your answer in simplified form.
\newline
±
−
38
=
±
□
\pm \sqrt{-38}= \pm \square
±
−
38
=
±
□
Express as product of square roots:
Express
±
−
38
\pm\sqrt{-38}
±
−
38
as the product of square roots and
−
1
\sqrt{-1}
−
1
.
±
−
38
=
±
−
1
×
38
\pm\sqrt{-38} = \pm\sqrt{-1 \times 38}
±
−
38
=
±
−
1
×
38
Recognize imaginary unit:
Recognize that
−
1
\sqrt{-1}
−
1
is the imaginary unit
i
i
i
.
±
−
1
×
38
=
±
−
1
×
38
\pm\sqrt{-1 \times 38} = \pm\sqrt{-1} \times \sqrt{38}
±
−
1
×
38
=
±
−
1
×
38
=
±
i
×
38
= \pm i \times \sqrt{38}
=
±
i
×
38
Simplify expression:
Simplify the expression by keeping the imaginary unit
i
i
i
and the
square root
of the positive number.
±
i
38
=
±
i
38
\pm i \sqrt{38} = \pm i\sqrt{38}
±
i
38
=
±
i
38
More problems from Introduction to complex numbers
Question
What is the period of
y
=
3
cos
(
x
−
7
)
+
2
y=3 \cos (x-7)+2
y
=
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cos
(
x
−
7
)
+
2
?
\newline
Give an exact value.
\newline
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−
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+
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−
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+
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=
\newline
Express your answer in the form
(
a
+
b
i
)
(a+b i)
(
a
+
bi
)
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(
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=
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\newline
Express your answer in the form
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(
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)
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Question
(
80
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−
(
80
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i
)
=
(80 i)-(80+10 i)=
(
80
i
)
−
(
80
+
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i
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=
\newline
Express your answer in the form
(
a
+
b
i
)
(a+b i)
(
a
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)
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Posted 10 months ago
Question
Express the radical using the imaginary unit,
i
i
i
.
\newline
Express your answer in simplified form.
\newline
±
−
64
=
±
\pm \sqrt{-64}= \pm
±
−
64
=
±
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Posted 10 months ago
Question
Which of the following is equivalent to the complex number
i
21
i^{21}
i
21
?
\newline
Choose
1
1
1
answer:
\newline
(A)
1
1
1
\newline
(B)
i
i
i
\newline
(C)
−
1
-1
−
1
\newline
(D)
−
i
-i
−
i
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Posted 10 months ago
Question
Express the radical using the imaginary unit,
i
i
i
.
\newline
Express your answer in simplified form.
\newline
±
−
30
=
±
\pm \sqrt{-30}= \pm
±
−
30
=
±
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Posted 10 months ago
Question
Express the radical using the imaginary unit,
i
i
i
.
\newline
Express your answer in simplified form.
\newline
±
−
35
=
±
\pm \sqrt{-35}= \pm
±
−
35
=
±
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Posted 10 months ago
Question
Express the radical using the imaginary unit,
i
i
i
.
\newline
Express your answer in simplified form.
\newline
±
−
80
=
±
\pm \sqrt{-80}= \pm
±
−
80
=
±
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Posted 10 months ago
Question
Express the radical using the imaginary unit,
i
i
i
.
\newline
Express your answer in simplified form.
\newline
±
−
4
=
±
\pm \sqrt{-4}= \pm
±
−
4
=
±
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