Evaluate square root of 15/2

Problem

√(,15/2)

Solution

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

√(,15/2)=√(,15)/√(,2)

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

√(,15)/√(,2)⋅√(,2)/√(,2)

3. Multiply the radicals in the numerator and simplify the denominator.

√(,15⋅2)/√(,4)

4. Simplify the expression by calculating the product in the numerator and the square root in the denominator.

√(,30)/2

Final Answer

√(,15/2)=√(,30)/2

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