6x⋅12x

Factor 4 out of 12.

6x⋅4(3)x

Rewrite 4 as 22.

6x⋅22⋅3x

Add parentheses.

6x⋅22⋅(3x)

6x⋅22⋅(3x)

Pull terms out from under the radical.

6x⋅(23x)

Rewrite using the commutative property of multiplication.

26x3x

Combine using the product rule for radicals.

23x(6x)

Multiply 6 by 3.

218x⋅x

Raise x to the power of 1.

218(x1x)

Raise x to the power of 1.

218(x1x1)

Use the power rule aman=am+n to combine exponents.

218×1+1

Add 1 and 1.

218×2

218×2

Factor 9 out of 18.

29(2)x2

Rewrite 9 as 32.

232⋅2×2

Move 2.

232×2⋅2

Rewrite 32×2 as (3x)2.

2(3x)2⋅2

2(3x)2⋅2

Pull terms out from under the radical.

2(3×2)

Multiply 3 by 2.

6×2

Simplify square root of 6x* square root of 12x