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=3^2×7^2

4. Apply the property of square roots √(,a^2×b^2)=a×b

5. Calculate the result: √(,3^2×7^2)=3×7=21

Final Answer

√(,441)=21

Want more problems? Check here!