Simplify square root of y^3

Problem

√(,y3)

Solution

1. Rewrite the radicand using the properties of exponents to identify perfect squares.

√(,y2⋅y)

2. Apply the product property of square roots, which states √(,a⋅b)=√(,a)⋅√(,b)

√(,y2)⋅√(,y)

3. Simplify the square root of the perfect square, noting that √(,y2)=y (assuming y≥0.

y√(,y)

Final Answer

√(,y3)=y√(,y)

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