Simplify square root of 20

Problem

√(,20)

Solution

1. Identify the radicand and look for the largest perfect square factor of 20

2. Factor the number 20 into a product of a perfect square and another integer.

√(,20)=√(,4⋅5)

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

√(,4⋅5)=√(,4)⋅√(,5)

4. Simplify the square root of the perfect square factor.

√(,4)⋅√(,5)=2√(,5)

Final Answer

√(,20)=2√(,5)

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