Simplify square root of 16/9

Problem

√(,16/9)

Solution

1. Apply the quotient property of square roots, 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.

√(,16/9)=√(,16)/√(,9)

2. Evaluate the square root of the numerator, noting that 4=16

√(,16)=4

3. Evaluate the square root of the denominator, noting that 3=9

√(,9)=3

4. Combine the results into a single simplified fraction.

4/3

Final Answer

√(,16/9)=4/3

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