Calculate the square root of 269

Problem

√(,269)

Solution

1. Identify the number 269 and check if it is a perfect square.

2. Test for divisibility by small prime numbers such as 2, 3, 5, 7, 11, and 13 to see if the radical can be simplified.

3. Determine that 269 is a prime number, as it is not divisible by any prime number less than its square root (√(,269)≈16.4.

4. Conclude that the square root cannot be simplified into a simpler radical form or a whole number.

Final Answer

√(,269)=√(,269)

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