Simplify square root of 80x^3

Problem

√(,80*x3)

Solution

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

√(,16⋅5⋅x2⋅x)

2. Apply the product property of square roots to separate the terms.

√(,16)⋅√(,x2)⋅√(,5*x)

3. Evaluate the square roots of the perfect squares.

4⋅x⋅√(,5*x)

4. Combine the terms outside the radical.

4*x√(,5*x)

Final Answer

√(,80*x3)=4*x√(,5*x)

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