Calculate the square root of 23

Problem

√(,23)

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. Since 16<23<25 the value is between √(,16)=4 and √(,25)=5

3. Calculate the decimal approximation using a calculator or numerical method (such as Newton's method).

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

Final Answer

√(,23)≈4.7958

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