Evaluate square root of 1-(5/6)^2

Problem

√(,1−(5/6)2)

Solution

1. Square the fraction by applying the exponent to both the numerator and the denominator.

(5/6)2=25/36

2. Subtract the fraction from 1 by finding a common denominator.

1−25/36=36/36−25/36

3. Simplify the expression inside the square root.

(36−25)/36=11/36

4. Apply the square root to the numerator and the denominator separately.

√(,11/36)=√(,11)/√(,36)

5. Evaluate the square root of the denominator.

√(,11)/6

Final Answer

√(,1−(5/6)2)=√(,11)/6

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