Evaluate square root of 53

Problem

√(,53)

Solution

1. Identify the number as a prime number. Since 53 is a prime number, its square root cannot be simplified into a product of an integer and a smaller radical.

2. Estimate the value by finding the nearest perfect squares. Since 49<53<64 the value of √(,53) must be between √(,49)=7 and √(,64)=8

3. Calculate the decimal approximation using a calculator or numerical method.

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

Final Answer

√(,53)≈7.2801

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