Simplify 6 square root of 72x^2

Problem

6√(,72*x2)

Solution

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

6√(,36⋅2⋅x2)

2. Apply the product property of radicals to separate the terms.

6⋅√(,36)⋅√(,x2)⋅√(,2)

3. Evaluate the square roots of the perfect squares.

6⋅6⋅|x|⋅√(,2)

4. Multiply the coefficients outside the radical.

36*|x|√(,2)

Final Answer

6√(,72*x2)=36*|x|√(,2)

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