Evaluate square root of 73

Problem

√(,73)

Solution

1. Identify the number as a prime number. Since 73 has no factors other than 1 and itself, the square root cannot be simplified into a simpler radical form.

2. Estimate the value by finding the nearest perfect squares. Since 8=64 and 9=81 the value of √(,73) must lie between 8 and 9.

3. Calculate the decimal approximation using a calculator or numerical method (such as Newton's method).

4. Round the result to a standard number of decimal places, typically four.

Final Answer

√(,73)≈8.5440

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