Evaluate square root of 8x^4y^4

Math
8x4y4
Rewrite 8x4y4 as (2x2y2)2⋅2.
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Factor 4 out of 8.
4(2)x4y4
Rewrite 4 as 22.
22⋅2x4y4
Rewrite x4 as (x2)2.
22⋅2(x2)2y4
Rewrite y4 as (y2)2.
22⋅2(x2)2(y2)2
Move 2.
22(x2)2(y2)2⋅2
Rewrite 22(x2)2(y2)2 as (2x2y2)2.
(2x2y2)2⋅2
(2x2y2)2⋅2
Pull terms out from under the radical.
2x2y22
Evaluate square root of 8x^4y^4

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