Evaluate 2 square root of 10

Problem

2√(,10)

Solution

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

2. Determine if the radicand, 10 has any perfect square factors other than 1

3. Factor the radicand into its prime factors: 10=2⋅5

4. Conclude that since there are no perfect square factors, the expression is already in its simplest radical form.

5. Approximate the value if a decimal is required by calculating √(,10)≈3.162277

6. Multiply the constant by the approximation: 2⋅3.162277≈6.324555

Final Answer

2√(,10)≈6.324555

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