Calculate the square root of 173

Problem

√(,173)

Solution

1. Identify the number 173 as a prime number. Since 173 is not divisible by any small prime numbers like 2, 3, 5, 7, 11, or 13, it has no square factors other than 1.

2. Determine if the square root can be simplified. Because 173 is prime, its square root cannot be simplified into a product of an integer and a smaller square root.

3. Estimate the value by finding the nearest perfect squares. Since 13=169 and 14=196 the value is slightly larger than 13.

4. Calculate the decimal approximation using a calculator or numerical method if a decimal value is required.

Final Answer

√(,173)≈13.152946

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