Calculate the square root of 44

Problem

√(,44)

Solution

1. Identify the number under the radical and look for perfect square factors.

2. Factor the number 44 into a product of its prime factors or a product involving a perfect square.

44=4×11

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

√(,44)=√(,4×11)

√(,44)=√(,4)×√(,11)

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

√(,4)=2

5. Combine the results to find the simplified radical form.

√(,44)=2√(,11)

Final Answer

√(,44)=2√(,11)

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