Evaluate square root of 52

Problem

√(,52)

Solution

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

2. Factor the number 52 into its prime factors or find the largest perfect square that divides it.

52=4×13

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

√(,52)=√(,4×13)

√(,52)=√(,4)×√(,13)

4. Simplify the square root of the perfect square.

√(,4)=2

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

√(,52)=2√(,13)

Final Answer

√(,52)=2√(,13)

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