Simplify square root of 80p^3

Problem

√(,80*p3)

Solution

1. Factor the radicand into its prime factors or perfect square components.

√(,16⋅5⋅p2⋅p)

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

√(,16)⋅√(,p2)⋅√(,5*p)

3. Simplify the square roots of the perfect squares.

4⋅p⋅√(,5*p)

4. Combine the terms outside the radical.

4*p√(,5*p)

Final Answer

√(,80*p3)=4*p√(,5*p)

Want more problems? Check here!