Calculate the square root of 676

Problem

√(,676)

Solution

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

2. Determine the range of the square root by noting that 20^2=400 and 30^2=900 so the result must be between 20 and 30

3. Check the last digit of the number, which is 6 This implies the square root must end in either 4 or 6 (since 4^2=16 and 6^2=36.

4. Test the value 26 by performing the multiplication 26×26

5. Calculate the product: 26×20=520 and 26×6=156

6. Sum the results: $520 + 156 = 676$.

Final Answer

√(,676)=26

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