Evaluate square root of 5/2

Problem

√(,5/2)

Solution

1. Apply the quotient rule for radicals to separate the numerator and the denominator.

√(,5/2)=√(,5)/√(,2)

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

√(,5)/√(,2)⋅√(,2)/√(,2)

3. Simplify the expression by multiplying the radicals in the numerator and the denominator.

√(,5⋅2)/√(,2⋅2)

4. Calculate the final values for the radicands.

√(,10)/2

Final Answer

√(,5/2)=√(,10)/2

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