Simplify square root of 3/2

Problem

√(,3/2)

Solution

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

√(,3/2)=√(,3)/√(,2)

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

√(,3)/√(,2)⋅√(,2)/√(,2)

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

√(,3⋅2)/2

4. Simplify the expression by calculating the product inside the square root.

√(,6)/2

Final Answer

√(,3/2)=√(,6)/2

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