Evaluate square root of 4/25

Problem

√(,4/25)

Solution

1. Apply the quotient property of square roots, which states that the square root of a fraction is the square root of the numerator divided by the square root of the denominator.

√(,4/25)=√(,4)/√(,25)

2. Evaluate the square root of the numerator by finding the number that, when multiplied by itself, equals 4

√(,4)=2

3. Evaluate the square root of the denominator by finding the number that, when multiplied by itself, equals 25

√(,25)=5

4. Combine the results into a single fraction.

2/5

Final Answer

√(,4/25)=2/5

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