Evaluate 3 square root of 200

Problem

3√(,200)

Solution

1. Identify the radicand and look for the largest perfect square factor of 200

2. Factor the number 200 into the product of 100 and 2

3√(,100⋅2)

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

3⋅√(,100)⋅√(,2)

4. Evaluate the square root of the perfect square 100

3⋅10⋅√(,2)

5. Multiply the coefficients outside the radical.

30√(,2)

Final Answer

3√(,200)=30√(,2)

Want more problems? Check here!