Calculate the square root of 103

Problem

√(,103)

Solution

1. Identify the number as a non-perfect square, meaning its square root will be an irrational number.

2. Estimate the value by finding the nearest perfect squares, which are 100 (10^2 and 121 (11^2.

3. Determine that the value lies between 10 and 11 specifically very close to 10 since 103 is close to 100

4. Calculate the decimal approximation using a calculator or numerical methods like Newton's method.

5. Round the result to a standard number of decimal places, such as four.

Final Answer

√(,103)≈10.1489

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