Evaluate square root of 81/100

Problem

√(,81/100)

Solution

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

√(,81/100)=√(,81)/√(,100)

2. Evaluate the square root of the numerator by finding the number that, when multiplied by itself, equals 81

√(,81)=9

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.

9/10

Final Answer

√(,81/100)=9/10

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