a.√(16x^(3)y^(2))

b. 4xy√(x)

c. 4√(x^(3)y^(2))

d. 4y√(x^(3))

√( 8X

^{2 }* √2Xy = 4x √XY is the correct answer which is not in any of the choices , something is missing from the problem.-
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a.√(16x^(3)y^(2))

b. 4xy√(x)

c. 4√(x^(3)y^(2))

d. 4y√(x^(3))

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