Evaluate square root of 23

Problem

√(,23)

Solution

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

2. Estimate the value by finding the nearest perfect squares, which are 16 and 25

3. Determine that since 16<23<25 the value must be between √(,16)=4 and √(,25)=5

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

Final Answer

√(,23)≈4.79583152331

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