Simplify square root of 100v^3

Problem

√(,100*v3)

Solution

1. Rewrite the expression by breaking the radicand into perfect square factors and remaining factors.

√(,100⋅v2⋅v)

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

√(,100)⋅√(,v2)⋅√(,v)

3. Evaluate the square roots of the perfect squares.

10⋅v⋅√(,v)

4. Combine the terms into the final simplified form.

10*v√(,v)

Final Answer

√(,100*v3)=10*v√(,v)

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