Calculate the square root of 13

Problem

√(,13)

Solution

1. Identify the number as a prime number, which means its square root cannot be simplified into a simpler radical form involving integers.

2. Estimate the value by finding the nearest perfect squares, which are 9 and 16

3. Determine that since 3=9 and 4=16 the value of √(,13) must lie between 3 and 4

4. Calculate the decimal approximation using a calculator or numerical method for higher precision.

Final Answer

√(,13)≈3.605551275

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