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Let’s check out your problem:
Simplify the expression completely.
\newline
−
−
27
3
+
4
8
3
+
64
-\sqrt[3]{-27}+4 \sqrt[3]{8}+\sqrt{64}
−
3
−
27
+
4
3
8
+
64
\newline
Answer:
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Math Problems
Algebra 2
Roots of rational numbers
Full solution
Q.
Simplify the expression completely.
\newline
−
−
27
3
+
4
8
3
+
64
-\sqrt[3]{-27}+4 \sqrt[3]{8}+\sqrt{64}
−
3
−
27
+
4
3
8
+
64
\newline
Answer:
Simplify Cube Root of
−
27
-27
−
27
:
Simplify the cube root of
−
27
-27
−
27
.
−
27
3
=
−
(
−
3
)
\sqrt[3]{-27} = -(-3)
3
−
27
=
−
(
−
3
)
because
(
−
3
)
3
=
−
27
(-3)^3 = -27
(
−
3
)
3
=
−
27
.
Multiply Cube Root of
8
8
8
by
4
4
4
:
Simplify the cube root of
8
8
8
multiplied by
4
4
4
.
\newline
4
8
3
=
4
×
2
4\sqrt[3]{8} = 4 \times 2
4
3
8
=
4
×
2
because
2
3
=
8
2^3 = 8
2
3
=
8
.
Simplify Square Root of
64
64
64
:
Simplify the
square root
of
64
64
64
.
64
=
8
\sqrt{64} = 8
64
=
8
because
8
2
=
64
8^2 = 64
8
2
=
64
.
Combine Results:
Combine the results from steps
1
1
1
,
2
2
2
, and
3
3
3
.
\newline
−
(
−
3
)
+
4
×
2
+
8
=
3
+
8
+
8
-(-3) + 4 \times 2 + 8 = 3 + 8 + 8
−
(
−
3
)
+
4
×
2
+
8
=
3
+
8
+
8
.
Perform Addition:
Perform the addition.
3
+
8
+
8
=
19
3 + 8 + 8 = 19
3
+
8
+
8
=
19
.
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\newline
16
\sqrt{16}
16
\newline
\newline
Write your answer in simplified form.
\newline
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\newline
9
16
\sqrt{\frac{9}{16}}
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\newline
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\newline
273
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42
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\newline
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z
z
z
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16
=
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=
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Question
Simplify the radical expression.
14
x
14
\sqrt{14x^{14}}
14
x
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Write your answer in the form
A
A
A
,
B
\sqrt{B}
B
, or
A
B
A\sqrt{B}
A
B
, where
A
A
A
and
B
B
B
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x
x
x
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A
A
A
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Question
Simplify the radical expression.
\newline
12
x
12
\sqrt{12x^{12}}
12
x
12
\newline
Write your answer in the form
A
A
A
,
B
\sqrt{B}
B
, or
A
B
A\sqrt{B}
A
B
, where
A
A
A
and
B
B
B
are constants or expressions in
x
x
x
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A
A
A
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Question
What is the value of
sin
(
5
π
6
)
?
\sin \left(\frac{5 \pi}{6}\right) ?
sin
(
6
5
π
)
?
\newline
Choose
1
1
1
answer:
\newline
(A)
−
3
2
-\frac{\sqrt{3}}{2}
−
2
3
\newline
(B)
−
2
2
-\frac{\sqrt{2}}{2}
−
2
2
\newline
(C)
1
2
\frac{1}{2}
2
1
\newline
(D)
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