Evaluate square root of 11

Problem

√(,11)

Solution

1. Identify the number as a non-perfect square, meaning its square root is an irrational number that cannot be simplified into an integer or a simple fraction.

2. Estimate the value by finding the nearest perfect squares, which are 9 and 16

3. Determine that since 3=9 and 4=16 the value of √(,11) must lie between 3 and 4

4. Calculate the decimal approximation using a calculator or numerical method to several decimal places.

Final Answer

√(,11)≈3.31662479

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