Simplify square root of 48

Problem

√(,48)

Solution

1. Identify the largest perfect square factor of the radicand 48.

2. Factor the number 48 into the product of its largest perfect square factor and another integer.

√(,48)=√(,16⋅3)

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

√(,16⋅3)=√(,16)⋅√(,3)

4. Simplify the square root of the perfect square.

√(,16)⋅√(,3)=4√(,3)

Final Answer

√(,48)=4√(,3)

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