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Precalculus Examples
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Precalculus
Simplify cube root of square root of 729x^6
3
√
√
729
x
6
729
x
6
3
Step 1
Rewrite
729
x
6
729
x
6
as
(
27
x
3
)
2
(
27
x
3
)
2
.
3
√
√
(
27
x
3
)
2
(
27
x
3
)
2
3
Step 2
Pull
terms
out from under the radical, assuming positive real numbers.
3
√
27
x
3
27
x
3
3
Step 3
Rewrite
27
x
3
27
x
3
as
(
3
x
)
3
(
3
x
)
3
.
3
√
(
3
x
)
3
(
3
x
)
3
3
Step 4
Pull
terms
out from under the radical, assuming real numbers.
3
x
3
x
⎡
⎢
⎣
x
2
1
2
√
π
∫
x
d
x
⎤
⎥
⎦
[
x
2
1
2
π
∫
x
d
x
]
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