Evaluate square root of 7

Problem

√(,7)

Solution

1. Identify the expression as the principal square root of the number 7

2. Recognize that 7 is a prime number and not a perfect square, meaning its square root is an irrational number.

3. Approximate the value using a calculator or numerical methods if a decimal representation is required.

4. Determine the decimal value to several places, which is approximately 2.645751311

Final Answer

√(,7)≈2.645751311

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