Evaluate 5/( square root of 5)

Problem

5/√(,5)

Solution

1. Identify the expression as a fraction with a radical in the denominator.

2. Rationalize the denominator by multiplying both the numerator and the denominator by √(,5)

3. Multiply the terms in the numerator and denominator.

(5⋅√(,5))/(√(,5)⋅√(,5))

4. Simplify the denominator, noting that √(,5)⋅√(,5)=5

(5√(,5))/5

5. Cancel the common factor of 5 from the numerator and the denominator.

√(,5)

Final Answer

5/√(,5)=√(,5)

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