Simplify square root of 50x^3

Problem

√(,50*x3)

Solution

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

√(,25⋅2⋅x2⋅x)

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

√(,25)⋅√(,x2)⋅√(,2*x)

3. Simplify the square roots of the perfect squares.

5⋅x⋅√(,2*x)

4. Combine the terms outside the radical.

5*x√(,2*x)

Final Answer

√(,50*x3)=5*x√(,2*x)

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