Simplify ( square root of 972xy^2) square root of 9x

Math
(972xy2)9x
Rewrite 972xy2 as (18y)2⋅(3x).
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Factor 324 out of 972.
324(3)xy29x
Rewrite 324 as 182.
182⋅3xy29x
Move x.
182⋅3y2x9x
Move 3.
182y2⋅3x9x
Rewrite 182y2 as (18y)2.
(18y)2⋅3x9x
Add parentheses.
(18y)2⋅(3x)9x
(18y)2⋅(3x)9x
Pull terms out from under the radical.
18y3x9x
Rewrite 9 as 32.
18y3x32x
Pull terms out from under the radical.
18y3x(3x)
Multiply 18y3x(3x).
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Multiply 3 by 18.
54y3xx
Combine using the product rule for radicals.
54yx(3x)
Raise x to the power of 1.
54y3(x1x)
Raise x to the power of 1.
54y3(x1x1)
Use the power rule aman=am+n to combine exponents.
54y3x1+1
Add 1 and 1.
54y3x2
54y3x2
Reorder 3 and x2.
54yx2⋅3
Pull terms out from under the radical.
54yx3
Simplify ( square root of 972xy^2) square root of 9x

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