Simplify square root of 44

Problem

√(,44)

Solution

1. Identify the radicand, which is 44

2. Find the largest perfect square factor of 44 by checking its divisors.

3. Factor the radicand into a product of a perfect square and another integer.

√(,44)=√(,4⋅11)

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

√(,4⋅11)=√(,4)⋅√(,11)

5. Evaluate the square root of the perfect square 4

√(,4)⋅√(,11)=2√(,11)

Final Answer

√(,44)=2√(,11)

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