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Evaluate - square root of 48.5

Problem

√(,48.5)

Solution

  1. Identify the number under the square root, which is 48.5

  2. Rewrite the decimal as a fraction to simplify the calculation if needed, or recognize that 48.5 is 97/2

  3. Estimate the value by noting that 6=36 and 7=49 so the result is slightly less than 7

  4. Calculate the square root using a calculator or numerical method (like Newton's method) for a precise decimal value.

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

Final Answer

√(,48.5)≈6.9642


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