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Let’s check out your problem:
Distribute to create an equivalent expression with the fewest symbols possible.
1
2
(
10
x
+
20
y
+
10
z
)
\frac{1}{2}(10x+20y+10z)
2
1
(
10
x
+
20
y
+
10
z
)
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Math Problems
Algebra 2
Roots of integers
Full solution
Q.
Distribute to create an equivalent expression with the fewest symbols possible.
1
2
(
10
x
+
20
y
+
10
z
)
\frac{1}{2}(10x+20y+10z)
2
1
(
10
x
+
20
y
+
10
z
)
Distribute to
10
x
10x
10
x
:
Distribute
1
2
\frac{1}{2}
2
1
to the first term,
10
x
10x
10
x
.
\newline
1
2
×
10
x
=
5
x
\frac{1}{2} \times 10x = 5x
2
1
×
10
x
=
5
x
Distribute to
20
y
20y
20
y
:
Distribute
1
2
\frac{1}{2}
2
1
to the second term,
20
y
20y
20
y
.
\newline
1
2
×
20
y
=
10
y
\frac{1}{2} \times 20y = 10y
2
1
×
20
y
=
10
y
Distribute to
10
z
10z
10
z
:
Distribute
1
2
\frac{1}{2}
2
1
to the third term,
10
z
10z
10
z
.
\newline
1
2
×
10
z
=
5
z
\frac{1}{2} \times 10z = 5z
2
1
×
10
z
=
5
z
Combine and simplify:
Combine the results from steps
1
1
1
,
2
2
2
, and
3
3
3
to write the simplified expression.
\newline
The simplified expression is
5
x
+
10
y
+
5
z
5x + 10y + 5z
5
x
+
10
y
+
5
z
.
More problems from Roots of integers
Question
Find the real-number root.
\newline
16
\sqrt{16}
16
\newline
\newline
Write your answer in simplified form.
\newline
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_
_
_
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Find the real-number root.
\newline
9
16
\sqrt{\frac{9}{16}}
16
9
\newline
Simplify your answer and write it as a decimal or as a proper or improper fraction.
\newline
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Find the real-number root using a calculator. Round your answer to the nearest thousandth.
\newline
`\sqrt{957} `
\newline
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Question
Multiply. Write your answer in simplest form.
\newline
273
×
42
\sqrt{273} \times \sqrt{42}
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Question
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\newline
63
4
\sqrt{\frac{63}{4}}
4
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Question
Simplify. Rationalize the denominator.
\newline
−
4
9
−
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9
−
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4
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Question
Solve for
z
z
z
.
\newline
16
=
z
16 = \sqrt{z}
16
=
z
\newline
z
=
z =
z
=
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Posted 1 year ago
Question
Simplify the radical expression.
14
x
14
\sqrt{14x^{14}}
14
x
14
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
. Use at most one radical in your answer, and at most one absolute value symbol in your expression for
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
. Use at most one radical in your answer, and at most one absolute value symbol in your expression for
A
A
A
.
\newline
‾
\underline{\hspace{3cm}}
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Posted 1 year ago
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)
150
150
150
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