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Mathematics
Problem
Simplify the expression
2
200
a
3
b
3
8
a
b
5
\displaystyle \frac{2\sqrt{200a^{3}b}}{3\sqrt{8ab^{5}}}
3
8
a
b
5
2
200
a
3
b
, where
a
,
b
≥
0
a,b\ge0
a
,
b
≥
0
. Write the final answer as a rational coefficient multiplied by a radical that cannot be simplified further, showing all necessary steps.
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