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Algebra Examples
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Algebra
Simplify square root of x^13
√
x
13
x
13
Step 1
Rewrite
x
13
x
13
as
(
x
6
)
2
x
(
x
6
)
2
x
.
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Step 1.1
Factor
out
x
12
x
12
.
√
x
12
x
x
12
x
Step 1.2
Rewrite
x
12
x
12
as
(
x
6
)
2
(
x
6
)
2
.
√
(
x
6
)
2
x
(
x
6
)
2
x
√
(
x
6
)
2
x
(
x
6
)
2
x
Step 2
Pull
terms
out from under the radical.
x
6
√
x
x
6
x
2
√
x
1
3
x
1
3
2
(
(
)
)
|
|
[
[
]
]
√
√
≥
≥
7
7
8
8
9
9
≤
≤
4
4
5
5
6
6
/
/
^
^
×
×
>
>
∩
∩
∪
∪
1
1
2
2
3
3
-
-
+
+
÷
÷
<
<
π
π
∞
∞
,
,
0
0
.
.
%
%
=
=
⎡
⎢
⎣
x
2
1
2
√
π
∫
x
d
x
⎤
⎥
⎦
[
x
2
1
2
π
∫
x
d
x
]
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