Calculate the square root of 11

Problem

√(,11)

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, which are 9 and 16

3. Observe that √(,9)<√(,11)<√(,16) which implies 3<√(,11)<4

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

Final Answer

√(,11)≈3.31662479

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