Evaluate 1/( square root of 6)

Problem

1/√(,6)

Solution

1. Identify the expression as a fraction with an irrational denominator.

2. Rationalize the denominator by multiplying both the numerator and the denominator by √(,6)

1/√(,6)⋅√(,6)/√(,6)

3. Multiply the numerators together.

1⋅√(,6)=√(,6)

4. Multiply the denominators together.

√(,6)⋅√(,6)=6

5. Combine the results into a single fraction.

√(,6)/6

Final Answer

1/√(,6)=√(,6)/6

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