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

27x23x

Rewrite 27×2 as (3x)2⋅3.

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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

Pull terms out from under the radical.

3x33x

Multiply 3x33x.

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Combine using the product rule for radicals.

3x3x⋅3

Multiply 3 by 3.

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

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