# Factor 5 square root of 3a+ square root of 12a+ square root of 27a

53a+12a+27a
Use axn=axn to rewrite 3a as (3a)12.
5(3a)12+12a+27a
Use axn=axn to rewrite 12a as (12a)12.
5(3a)12+(12a)12+27a
Use axn=axn to rewrite 27a as (27a)12.
5(3a)12+(12a)12+(27a)12
Apply the product rule to 3a.
5(312a12)+(12a)12+(27a)12
Remove parentheses.
5⋅312a12+(12a)12+(27a)12
Apply the product rule to 12a.
5⋅312a12+1212a12+(27a)12
Apply the product rule to 27a.
5⋅312a12+1212a12+2712a12
Factor a12 out of 5⋅312a12+1212a12+2712a12.
Factor a12 out of 5⋅312a12.
a12(5⋅312)+1212a12+2712a12
Factor a12 out of 1212a12.
a12(5⋅312)+a12⋅1212+2712a12
Factor a12 out of 2712a12.
a12(5⋅312)+a12⋅1212+a12⋅2712
Factor a12 out of a12(5⋅312)+a12⋅1212.
a12(5⋅312+1212)+a12⋅2712
Factor a12 out of a12(5⋅312+1212)+a12⋅2712.
a12(5⋅312+1212+2712)
a12(5⋅312+1212+2712)
Factor 5 square root of 3a+ square root of 12a+ square root of 27a

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