Evaluate 3 square root of 50a^7

Math
350a7
Rewrite 50a7 as (5a3)2⋅(2a).
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Factor 25 out of 50.
325(2)a7
Rewrite 25 as 52.
352⋅2a7
Factor out a6.
352⋅2(a6a)
Rewrite a6 as (a3)2.
352⋅2((a3)2a)
Move 2.
352(a3)2⋅2a
Rewrite 52(a3)2 as (5a3)2.
3(5a3)2⋅2a
Add parentheses.
3(5a3)2⋅(2a)
3(5a3)2⋅(2a)
Pull terms out from under the radical.
3(5a32a)
Multiply 5 by 3.
15a32a
Evaluate 3 square root of 50a^7

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