Evaluate 4 square root of 2

Problem

4√(,2)

Solution

1. Identify the expression as a product of an integer and an irrational number.

2. Determine if the square root can be simplified further. Since 2 is a prime number, √(,2) cannot be simplified into a simpler radical or an integer.

3. Approximate the value if a decimal is required. The value of √(,2) is approximately 1.4142

4. Calculate the product for the decimal approximation: 4×1.4142=5.6568

Final Answer

4√(,2)≈5.65685

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