Calculate the square root of 215

Problem

√(,215)

Solution

1. Identify the number as a non-perfect square, meaning its square root will be an irrational number.

2. Estimate the value by finding the nearest perfect squares: 14=196 and 15=225

3. Determine that the value lies between 14 and 15

4. Calculate the decimal approximation using the long division method or a calculator for precision.

5. Round the result to a standard number of decimal places, such as three.

Final Answer

√(,215)≈14.663

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