Simplify 1/( square root of 2)

Problem

1/√(,2)

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 √(,2)

1/√(,2)⋅√(,2)/√(,2)

3. Multiply the numerators together.

1⋅√(,2)=√(,2)

4. Multiply the denominators together.

√(,2)⋅√(,2)=2

5. Combine the results into a single fraction.

√(,2)/2

Final Answer

1/√(,2)=√(,2)/2

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