Simplify square root of 9/4

Problem

√(,9/4)

Solution

1. Apply the quotient rule for radicals, which states that the square root of a fraction is equal to the square root of the numerator divided by the square root of the denominator.

√(,9/4)=√(,9)/√(,4)

2. Evaluate the square root of the numerator.

√(,9)=3

3. Evaluate the square root of the denominator.

√(,4)=2

4. Combine the results into a single simplified fraction.

3/2

Final Answer

√(,9/4)=3/2

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