Evaluate square root of 47

Problem

√(,47)

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 36 and 49

3. Determine that since 6=36 and 7=49 the value of √(,47) must be between 6 and 7

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

Final Answer

√(,47)≈6.8556546004

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