Evaluate square root of 800

Problem

√(,800)

Solution

1. Identify the number inside the radical and look for the largest perfect square factor.

2. Factor the number 800 into a product of a perfect square and another number.

800=400⋅2

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

√(,800)=√(,400⋅2)

√(,800)=√(,400)⋅√(,2)

4. Simplify the square root of the perfect square 400

√(,400)=20

5. Combine the results to find the simplified radical form.

√(,800)=20√(,2)

Final Answer

√(,800)=20√(,2)

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