Simplify 1/( square root of 5)

Problem

1/√(,5)

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 √(,5)

1/√(,5)⋅√(,5)/√(,5)

3. Multiply the numerators together.

1⋅√(,5)=√(,5)

4. Multiply the denominators together.

√(,5)⋅√(,5)=5

5. Combine the results into a single fraction.

√(,5)/5

Final Answer

1/√(,5)=√(,5)/5

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