# Evaluate square root of 27x^2 square root of 3x

27x23x
Rewrite 27×2 as (3x)2⋅3.
Factor 9 out of 27.
9(3)x23x
Rewrite 9 as 32.
32⋅3x23x
Move 3.
32×2⋅33x
Rewrite 32×2 as (3x)2.
(3x)2⋅33x
(3x)2⋅33x
Pull terms out from under the radical.
3x33x
Multiply 3x33x.
Combine using the product rule for radicals.
3x3x⋅3
Multiply 3 by 3.
3x9x
3x9x
Rewrite 9 as 32.
3x32x
Pull terms out from under the radical.
3x(3x)
Multiply 3 by 3.
9xx
Evaluate square root of 27x^2 square root of 3x