Evaluate 2 square root of 5

Problem

2√(,5)

Solution

1. Identify the expression as a product of an integer and a square root.

2. Determine if the radicand, 5 is a perfect square or has any perfect square factors.

3. Conclude that since 5 is a prime number, the square root √(,5) cannot be simplified further into an integer or a simpler radical.

4. Approximate the value if a decimal is required, where √(,5)≈2.236

5. Calculate the decimal product: 2×2.236=4.472

Final Answer

2√(,5)≈4.472

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