Evaluate square root of 55

Problem

√(,55)

Solution

1. Identify the number under the radical, which is 55

2. Determine if there are any perfect square factors of 55 other than 1 The factors of 55 are 1, 5, 11, 55$.

3. Conclude that since 55 has no perfect square factors, the expression √(,55) is already in its simplest radical form.

4. Estimate the decimal value by noting that 55 lies between the perfect squares 49 (7 and 64 (8.

5. Calculate the approximate decimal value using a calculator for more precision.

Final Answer

√(,55)≈7.416198487

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