Simplify square root of 80

Problem

√(,80)

Solution

1. Identify the largest perfect square factor of the radicand 80.

2. Factor the number 80 into the product of its largest perfect square and another integer.

√(,80)=√(,16⋅5)

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

√(,16⋅5)=√(,16)⋅√(,5)

4. Simplify the square root of the perfect square.

√(,16)⋅√(,5)=4√(,5)

Final Answer

√(,80)=4√(,5)

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