Evaluate square root of 9/100

Problem

√(,9/100)

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.

√(,9/100)=√(,9)/√(,100)

2. Evaluate the square root of the numerator by finding the number that, when multiplied by itself, equals 9

√(,9)=3

3. Evaluate the square root of the denominator by finding the number that, when multiplied by itself, equals 100

√(,100)=10

4. Simplify the fraction by substituting the calculated values back into the expression.

3/10

Final Answer

√(,9/100)=3/10

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