Simplify square root of 9y^2

Problem

√(,9*y2)

Solution

1. Identify the components of the radicand, which are 9 and y2

2. Apply the product property of square roots, which states √(,a⋅b)=√(,a)⋅√(,b) for non-negative values.

√(,9*y2)=√(,9)⋅√(,y2)

3. Evaluate the square root of the constant 9

√(,9)=3

4. Evaluate the square root of the variable squared y2 using the absolute value to ensure a non-negative result.

√(,y2)=|y|

5. Combine the results into a single expression.

3⋅|y|=3*|y|

Final Answer

√(,9*y2)=3*|y|

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