Evaluate 6 square root of 3

Problem

6√(,3)

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 by looking for perfect square factors of 3.

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

4. Approximate the value if a decimal is required by using √(,3)≈1.732

5. Calculate the product 6×1.732=10.392

Final Answer

6√(,3)≈10.392

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