Evaluate square root of 6

Problem

√(,6)

Solution

1. Identify the expression as the square root of the number 6.

2. Determine if the number is a perfect square. Since 2=4 and 3=9 the square root of 6 is an irrational number between 2 and 3.

3. Approximate the value using numerical methods or a calculator for a decimal representation.

4. Simplify the radical. Since the prime factorization of 6 is 2×3 there are no square factors to remove from the radical.

Final Answer

√(,6)≈2.44948974

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