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

Math
6x⋅12x
Rewrite 12x as 22⋅(3x).
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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
Multiply 26x3x.
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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
Rewrite 18×2 as (3x)2⋅2.
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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

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