Simplify square root of (25y^3)/(x^2)

Problem

√(,(25*y3)/(x2))

Solution

1. Apply the quotient rule for radicals to separate the numerator and the denominator.

√(,25*y3)/√(,x2)

2. Factor the numerator to identify perfect squares within the expression.

√(,25⋅y2⋅y)/√(,x2)

3. Simplify the square roots of the perfect squares 25 y2 and x2

(5*y√(,y))/|x|

Final Answer

√(,(25*y3)/(x2))=(5*y√(,y))/|x|

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