Simplify square root of 45x^2

Problem

√(,45*x2)

Solution

1. Factor the radicand into perfect squares and remaining factors.

√(,9⋅5⋅x2)

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

√(,9)⋅√(,x2)⋅√(,5)

3. Evaluate the square roots of the perfect squares.

3⋅|x|⋅√(,5)

4. Simplify the expression by combining the terms outside the radical.

3*|x|√(,5)

Final Answer

√(,45*x2)=3*|x|√(,5)

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