Simplify square root of 9x^2

Problem

√(,9*x2)

Solution

1. Identify the components of the radicand. The expression inside the square root is a product of a constant 9 and a variable term x2

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

√(,9*x2)=√(,9)⋅√(,x2)

3. Evaluate the square root of the constant. The square root of 9 is 3

√(,9)=3

4. Simplify the square root of the variable squared. The square root of x2 is the absolute value of x written as |x| to ensure the result is non-negative.

√(,x2)=|x|

5. Combine the results to find the final simplified expression.

3⋅|x|=3*|x|

Final Answer

√(,9*x2)=3*|x|

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