Calculate the Square Root square root of 252x^5y^7z^3

Math
252x5y7z3
Rewrite 252x5y7z3 as (6x2y3z)2⋅(7xyz).
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Factor 36 out of 252.
36(7)x5y7z3
Rewrite 36 as 62.
62⋅7x5y7z3
Factor out x4.
62⋅7(x4x)y7z3
Rewrite x4 as (x2)2.
62⋅7((x2)2x)y7z3
Factor out y6.
62⋅7((x2)2x)(y6y)z3
Rewrite y6 as (y3)2.
62⋅7((x2)2x)((y3)2y)z3
Factor out z2.
62⋅7((x2)2x)((y3)2y)(z2z)
Move y.
62⋅7((x2)2x)((y3)2)z2yz
Move x.
(62⋅7((x2)2)((y3)2))z2xyz
Move 7.
((62((x2)2))((y3)2))z2⋅7xyz
Rewrite ((62((x2)2))((y3)2))z2 as (6x2y3z)2.
(6x2y3z)2⋅7xyz
Add parentheses.
(6x2y3z)2⋅7x(yz)
Add parentheses.
(6x2y3z)2⋅7(x(yz))
Add parentheses.
(6x2y3z)2⋅(7xyz)
(6x2y3z)2⋅(7xyz)
Pull terms out from under the radical.
6x2y3z7xyz
Calculate the Square Root square root of 252x^5y^7z^3

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