Evaluate square root of 441

Problem

√(,441)

Solution

1. Identify the number under the radical, which is 441

2. Determine if the number is a perfect square by looking at its prime factorization or testing integers.

3. Factor the number into its prime components: 441=3×147=3×3×49=3×7

4. Apply the property of square roots √(,a2×b2)=a×b

5. Calculate the result: √(,3×7)=3×7=21

Final Answer

√(,441)=21

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