Simplify square root of 75a^2b^3

Math
75a2b3
Rewrite 75a2 as (5a)2⋅3.
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Factor 25 out of 75.
25(3)a2b3
Rewrite 25 as 52.
52⋅3a2b3
Move 3.
52a2⋅3b3
Rewrite 52a2 as (5a)2.
(5a)2⋅3b3
(5a)2⋅3b3
Pull terms out from under the radical.
5a3b3
Simplify square root of 75a^2b^3

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