Evaluate square root of 26

Problem

√(,26)

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 25 and 36

3. Observe that √(,25)=5 and √(,36)=6

4. Conclude that √(,26) is slightly greater than 5

5. Calculate the decimal approximation using the square root algorithm or a calculator.

Final Answer

√(,26)≈5.09901951359

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