Evaluate square root of 676

Problem

√(,676)

Solution

1. Identify the number under the radical, which is 676

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

3. Estimate the value by noting that 20=400 and 30=900 so the square root must be between 20 and 30

4. Check the last digit, which is 6 This means the square root must end in either 4 or 6

5. Test the value 26 by multiplying 26×26

6. Calculate the product: 26×26=676

Final Answer

√(,676)=26

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