Evaluate square root of 32

Problem

√(,32)

Solution

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

2. Factor the number 32 into a product of a perfect square and another integer.

√(,32)=√(,16⋅2)

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

√(,16⋅2)=√(,16)⋅√(,2)

4. Simplify the square root of the perfect square.

√(,16)⋅√(,2)=4√(,2)

Final Answer

√(,32)=4√(,2)

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