Simplify 5/(2 square root of 6)

Problem

5/(2√(,6))

Solution

1. Identify the expression as a fraction with an irrational denominator containing √(,6)

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

5/(2√(,6))⋅√(,6)/√(,6)

3. Multiply the numerators together.

5⋅√(,6)=5√(,6)

4. Multiply the denominators together, noting that √(,6)⋅√(,6)=6

2√(,6)⋅√(,6)=2⋅6

5. Simplify the denominator by performing the multiplication.

2⋅6=12

6. Combine the results into a single fraction.

(5√(,6))/12

Final Answer

5/(2√(,6))=(5√(,6))/12

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